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Finding the Fourth Proportional to 14,652.40, 21,964.20 and 13,097.20

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Solution

The fourth proportional to 14,652.40, 21,964.20 and 13,097.20 is: 19,632.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652.40 : 21,964.20 = 13,097.20 : x
  2. Step 2: Convert to fraction form
    14,652.40/21,964.20 = 13,097.20/x
  3. Step 3: Cross multiply
    14,652.40x = 21,964.20 × 13,097.20
  4. Step 4: Simplify right side
    14,652.40x = 287,669,520.24
  5. Step 5: Solve for x
    x = 287,669,520.24/14,652.40
  6. Step 6: Final answer
    x = 19,632.93

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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.