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Finding the Fourth Proportional to 29,569.43, 40,806.77 and 16,141.40

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Solution

The fourth proportional to 29,569.43, 40,806.77 and 16,141.40 is: 22,275.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,569.43 : 40,806.77 = 16,141.40 : x
  2. Step 2: Convert to fraction form
    29,569.43/40,806.77 = 16,141.40/x
  3. Step 3: Cross multiply
    29,569.43x = 40,806.77 × 16,141.40
  4. Step 4: Simplify right side
    29,569.43x = 658,678,386.62
  5. Step 5: Solve for x
    x = 658,678,386.62/29,569.43
  6. Step 6: Final answer
    x = 22,275.66

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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.