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Finding the Fourth Proportional to 12,708.66, 19,069.50 and 6,052.70

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Solution

The fourth proportional to 12,708.66, 19,069.50 and 6,052.70 is: 9,082.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,708.66 : 19,069.50 = 6,052.70 : x
  2. Step 2: Convert to fraction form
    12,708.66/19,069.50 = 6,052.70/x
  3. Step 3: Cross multiply
    12,708.66x = 19,069.50 × 6,052.70
  4. Step 4: Simplify right side
    12,708.66x = 115,421,962.65
  5. Step 5: Solve for x
    x = 115,421,962.65/12,708.66
  6. Step 6: Final answer
    x = 9,082.15

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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.