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Finding the Fourth Proportional to 16,537.50, 24,807.74 and 4,691.39

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Solution

The fourth proportional to 16,537.50, 24,807.74 and 4,691.39 is: 7,037.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.50 : 24,807.74 = 4,691.39 : x
  2. Step 2: Convert to fraction form
    16,537.50/24,807.74 = 4,691.39/x
  3. Step 3: Cross multiply
    16,537.50x = 24,807.74 × 4,691.39
  4. Step 4: Simplify right side
    16,537.50x = 116,382,635.86
  5. Step 5: Solve for x
    x = 116,382,635.86/16,537.50
  6. Step 6: Final answer
    x = 7,037.50

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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.