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Finding the Fourth Proportional to 16,259.65, 24,363.95 and 9,682.24

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Solution

The fourth proportional to 16,259.65, 24,363.95 and 9,682.24 is: 14,508.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,259.65 : 24,363.95 = 9,682.24 : x
  2. Step 2: Convert to fraction form
    16,259.65/24,363.95 = 9,682.24/x
  3. Step 3: Cross multiply
    16,259.65x = 24,363.95 × 9,682.24
  4. Step 4: Simplify right side
    16,259.65x = 235,897,611.25
  5. Step 5: Solve for x
    x = 235,897,611.25/16,259.65
  6. Step 6: Final answer
    x = 14,508.16

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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.