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Finding the Fourth Proportional to 19,517.85, 29,264.76 and 9,502.71

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Solution

The fourth proportional to 19,517.85, 29,264.76 and 9,502.71 is: 14,248.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,517.85 : 29,264.76 = 9,502.71 : x
  2. Step 2: Convert to fraction form
    19,517.85/29,264.76 = 9,502.71/x
  3. Step 3: Cross multiply
    19,517.85x = 29,264.76 × 9,502.71
  4. Step 4: Simplify right side
    19,517.85x = 278,094,527.50
  5. Step 5: Solve for x
    x = 278,094,527.50/19,517.85
  6. Step 6: Final answer
    x = 14,248.22

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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.