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Finding the Fourth Proportional to 29,149.84, 40,225.92 and 16,403.76

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Solution

The fourth proportional to 29,149.84, 40,225.92 and 16,403.76 is: 22,636.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,149.84 : 40,225.92 = 16,403.76 : x
  2. Step 2: Convert to fraction form
    29,149.84/40,225.92 = 16,403.76/x
  3. Step 3: Cross multiply
    29,149.84x = 40,225.92 × 16,403.76
  4. Step 4: Simplify right side
    29,149.84x = 659,856,337.46
  5. Step 5: Solve for x
    x = 659,856,337.46/29,149.84
  6. Step 6: Final answer
    x = 22,636.71

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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.