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Finding the Fourth Proportional to 19,700.16, 29,562.54 and 8,013.38

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Solution

The fourth proportional to 19,700.16, 29,562.54 and 8,013.38 is: 12,025.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,700.16 : 29,562.54 = 8,013.38 : x
  2. Step 2: Convert to fraction form
    19,700.16/29,562.54 = 8,013.38/x
  3. Step 3: Cross multiply
    19,700.16x = 29,562.54 × 8,013.38
  4. Step 4: Simplify right side
    19,700.16x = 236,895,718.97
  5. Step 5: Solve for x
    x = 236,895,718.97/19,700.16
  6. Step 6: Final answer
    x = 12,025.07

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