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Finding the Fourth Proportional to 16,431, 24,641.28 and 5,335.12

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Solution

The fourth proportional to 16,431, 24,641.28 and 5,335.12 is: 8,000.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,431 : 24,641.28 = 5,335.12 : x
  2. Step 2: Convert to fraction form
    16,431/24,641.28 = 5,335.12/x
  3. Step 3: Cross multiply
    16,431x = 24,641.28 × 5,335.12
  4. Step 4: Simplify right side
    16,431x = 131,464,185.75
  5. Step 5: Solve for x
    x = 131,464,185.75/16,431
  6. Step 6: Final answer
    x = 8,000.99

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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.