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Finding the Fourth Proportional to 29,204.76, 40,302.52 and 15,776

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Solution

The fourth proportional to 29,204.76, 40,302.52 and 15,776 is: 21,770.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,204.76 : 40,302.52 = 15,776 : x
  2. Step 2: Convert to fraction form
    29,204.76/40,302.52 = 15,776/x
  3. Step 3: Cross multiply
    29,204.76x = 40,302.52 × 15,776
  4. Step 4: Simplify right side
    29,204.76x = 635,812,555.52
  5. Step 5: Solve for x
    x = 635,812,555.52/29,204.76
  6. Step 6: Final answer
    x = 21,770.85

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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.