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Finding the Fourth Proportional to 17,732.50, 26,598.82 and 5,252.76

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Solution

The fourth proportional to 17,732.50, 26,598.82 and 5,252.76 is: 7,879.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732.50 : 26,598.82 = 5,252.76 : x
  2. Step 2: Convert to fraction form
    17,732.50/26,598.82 = 5,252.76/x
  3. Step 3: Cross multiply
    17,732.50x = 26,598.82 × 5,252.76
  4. Step 4: Simplify right side
    17,732.50x = 139,717,217.74
  5. Step 5: Solve for x
    x = 139,717,217.74/17,732.50
  6. Step 6: Final answer
    x = 7,879.16

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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.