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Finding the Fourth Proportional to 12,434.27, 18,642.09 and 7,502.75

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Solution

The fourth proportional to 12,434.27, 18,642.09 and 7,502.75 is: 11,248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.27 : 18,642.09 = 7,502.75 : x
  2. Step 2: Convert to fraction form
    12,434.27/18,642.09 = 7,502.75/x
  3. Step 3: Cross multiply
    12,434.27x = 18,642.09 × 7,502.75
  4. Step 4: Simplify right side
    12,434.27x = 139,866,847.54
  5. Step 5: Solve for x
    x = 139,866,847.54/12,434.27
  6. Step 6: Final answer
    x = 11,248.50

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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.