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Finding the Fourth Proportional to 16,354.96, 24,532.53 and 5,825.38

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Solution

The fourth proportional to 16,354.96, 24,532.53 and 5,825.38 is: 8,738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,354.96 : 24,532.53 = 5,825.38 : x
  2. Step 2: Convert to fraction form
    16,354.96/24,532.53 = 5,825.38/x
  3. Step 3: Cross multiply
    16,354.96x = 24,532.53 × 5,825.38
  4. Step 4: Simplify right side
    16,354.96x = 142,911,309.61
  5. Step 5: Solve for x
    x = 142,911,309.61/16,354.96
  6. Step 6: Final answer
    x = 8,738.10

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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.