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Finding the Fourth Proportional to 16,291.75, 24,426.42 and 6,432.16

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Solution

The fourth proportional to 16,291.75, 24,426.42 and 6,432.16 is: 9,643.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,291.75 : 24,426.42 = 6,432.16 : x
  2. Step 2: Convert to fraction form
    16,291.75/24,426.42 = 6,432.16/x
  3. Step 3: Cross multiply
    16,291.75x = 24,426.42 × 6,432.16
  4. Step 4: Simplify right side
    16,291.75x = 157,114,641.67
  5. Step 5: Solve for x
    x = 157,114,641.67/16,291.75
  6. Step 6: Final answer
    x = 9,643.82

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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.