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Finding the Fourth Proportional to 16,434.75, 24,652.13 and 5,490.75

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Solution

The fourth proportional to 16,434.75, 24,652.13 and 5,490.75 is: 8,236.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,434.75 : 24,652.13 = 5,490.75 : x
  2. Step 2: Convert to fraction form
    16,434.75/24,652.13 = 5,490.75/x
  3. Step 3: Cross multiply
    16,434.75x = 24,652.13 × 5,490.75
  4. Step 4: Simplify right side
    16,434.75x = 135,358,655.34
  5. Step 5: Solve for x
    x = 135,358,655.34/16,434.75
  6. Step 6: Final answer
    x = 8,236.13

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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.