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Finding the Fourth Proportional to 16,378.14, 24,568.80 and 6,515.24

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Solution

The fourth proportional to 16,378.14, 24,568.80 and 6,515.24 is: 9,773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,378.14 : 24,568.80 = 6,515.24 : x
  2. Step 2: Convert to fraction form
    16,378.14/24,568.80 = 6,515.24/x
  3. Step 3: Cross multiply
    16,378.14x = 24,568.80 × 6,515.24
  4. Step 4: Simplify right side
    16,378.14x = 160,071,689.93
  5. Step 5: Solve for x
    x = 160,071,689.93/16,378.14
  6. Step 6: Final answer
    x = 9,773.50

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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.