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Finding the Fourth Proportional to 16,534.29, 24,803.19 and 6,672

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Solution

The fourth proportional to 16,534.29, 24,803.19 and 6,672 is: 10,008.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534.29 : 24,803.19 = 6,672 : x
  2. Step 2: Convert to fraction form
    16,534.29/24,803.19 = 6,672/x
  3. Step 3: Cross multiply
    16,534.29x = 24,803.19 × 6,672
  4. Step 4: Simplify right side
    16,534.29x = 165,486,883.68
  5. Step 5: Solve for x
    x = 165,486,883.68/16,534.29
  6. Step 6: Final answer
    x = 10,008.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.