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Finding the Fourth Proportional to 16,381.55, 24,565.48 and 8,065.49

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Solution

The fourth proportional to 16,381.55, 24,565.48 and 8,065.49 is: 12,094.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.55 : 24,565.48 = 8,065.49 : x
  2. Step 2: Convert to fraction form
    16,381.55/24,565.48 = 8,065.49/x
  3. Step 3: Cross multiply
    16,381.55x = 24,565.48 × 8,065.49
  4. Step 4: Simplify right side
    16,381.55x = 198,132,490.29
  5. Step 5: Solve for x
    x = 198,132,490.29/16,381.55
  6. Step 6: Final answer
    x = 12,094.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.