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Finding the Fourth Proportional to 16,337.31, 24,509.15 and 5,243.15

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Solution

The fourth proportional to 16,337.31, 24,509.15 and 5,243.15 is: 7,865.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,337.31 : 24,509.15 = 5,243.15 : x
  2. Step 2: Convert to fraction form
    16,337.31/24,509.15 = 5,243.15/x
  3. Step 3: Cross multiply
    16,337.31x = 24,509.15 × 5,243.15
  4. Step 4: Simplify right side
    16,337.31x = 128,505,066.68
  5. Step 5: Solve for x
    x = 128,505,066.68/16,337.31
  6. Step 6: Final answer
    x = 7,865.74

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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.