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Finding the Fourth Proportional to 12,810.70, 19,216.05 and 9,052.30

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Solution

The fourth proportional to 12,810.70, 19,216.05 and 9,052.30 is: 13,578.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.70 : 19,216.05 = 9,052.30 : x
  2. Step 2: Convert to fraction form
    12,810.70/19,216.05 = 9,052.30/x
  3. Step 3: Cross multiply
    12,810.70x = 19,216.05 × 9,052.30
  4. Step 4: Simplify right side
    12,810.70x = 173,949,449.42
  5. Step 5: Solve for x
    x = 173,949,449.42/12,810.70
  6. Step 6: Final answer
    x = 13,578.45

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.