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Finding the Fourth Proportional to 29,697.68, 40,982.28 and 16,269.20

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Solution

The fourth proportional to 29,697.68, 40,982.28 and 16,269.20 is: 22,451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,697.68 : 40,982.28 = 16,269.20 : x
  2. Step 2: Convert to fraction form
    29,697.68/40,982.28 = 16,269.20/x
  3. Step 3: Cross multiply
    29,697.68x = 40,982.28 × 16,269.20
  4. Step 4: Simplify right side
    29,697.68x = 666,748,909.78
  5. Step 5: Solve for x
    x = 666,748,909.78/29,697.68
  6. Step 6: Final answer
    x = 22,451.21

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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.