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Finding the Fourth Proportional to 16,412.86, 24,641.17 and 13,963.42

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Solution

The fourth proportional to 16,412.86, 24,641.17 and 13,963.42 is: 20,963.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.86 : 24,641.17 = 13,963.42 : x
  2. Step 2: Convert to fraction form
    16,412.86/24,641.17 = 13,963.42/x
  3. Step 3: Cross multiply
    16,412.86x = 24,641.17 × 13,963.42
  4. Step 4: Simplify right side
    16,412.86x = 344,075,006.00
  5. Step 5: Solve for x
    x = 344,075,006.00/16,412.86
  6. Step 6: Final answer
    x = 20,963.74

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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.