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Finding the Fourth Proportional to 19,537.50, 29,275.53 and 15,105.99

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Solution

The fourth proportional to 19,537.50, 29,275.53 and 15,105.99 is: 22,635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,537.50 : 29,275.53 = 15,105.99 : x
  2. Step 2: Convert to fraction form
    19,537.50/29,275.53 = 15,105.99/x
  3. Step 3: Cross multiply
    19,537.50x = 29,275.53 × 15,105.99
  4. Step 4: Simplify right side
    19,537.50x = 442,235,863.42
  5. Step 5: Solve for x
    x = 442,235,863.42/19,537.50
  6. Step 6: Final answer
    x = 22,635.23

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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.