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Finding the Fourth Proportional to 12,332.58, 18,502.92 and 4,542

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Solution

The fourth proportional to 12,332.58, 18,502.92 and 4,542 is: 6,814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,332.58 : 18,502.92 = 4,542 : x
  2. Step 2: Convert to fraction form
    12,332.58/18,502.92 = 4,542/x
  3. Step 3: Cross multiply
    12,332.58x = 18,502.92 × 4,542
  4. Step 4: Simplify right side
    12,332.58x = 84,040,262.64
  5. Step 5: Solve for x
    x = 84,040,262.64/12,332.58
  6. Step 6: Final answer
    x = 6,814.49

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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.