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Finding the Fourth Proportional to 21,614.71, 29,830.71 and 12,669.78

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Solution

The fourth proportional to 21,614.71, 29,830.71 and 12,669.78 is: 17,485.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614.71 : 29,830.71 = 12,669.78 : x
  2. Step 2: Convert to fraction form
    21,614.71/29,830.71 = 12,669.78/x
  3. Step 3: Cross multiply
    21,614.71x = 29,830.71 × 12,669.78
  4. Step 4: Simplify right side
    21,614.71x = 377,948,532.94
  5. Step 5: Solve for x
    x = 377,948,532.94/21,614.71
  6. Step 6: Final answer
    x = 17,485.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.