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Finding the Fourth Proportional to 16,286.86, 24,403.07 and 15,680.14

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Solution

The fourth proportional to 16,286.86, 24,403.07 and 15,680.14 is: 23,494.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286.86 : 24,403.07 = 15,680.14 : x
  2. Step 2: Convert to fraction form
    16,286.86/24,403.07 = 15,680.14/x
  3. Step 3: Cross multiply
    16,286.86x = 24,403.07 × 15,680.14
  4. Step 4: Simplify right side
    16,286.86x = 382,643,432.01
  5. Step 5: Solve for x
    x = 382,643,432.01/16,286.86
  6. Step 6: Final answer
    x = 23,494.00

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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.