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Finding the Fourth Proportional to 15,508.50, 23,248.93 and 7,177.07

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Solution

The fourth proportional to 15,508.50, 23,248.93 and 7,177.07 is: 10,759.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,508.50 : 23,248.93 = 7,177.07 : x
  2. Step 2: Convert to fraction form
    15,508.50/23,248.93 = 7,177.07/x
  3. Step 3: Cross multiply
    15,508.50x = 23,248.93 × 7,177.07
  4. Step 4: Simplify right side
    15,508.50x = 166,859,198.04
  5. Step 5: Solve for x
    x = 166,859,198.04/15,508.50
  6. Step 6: Final answer
    x = 10,759.21

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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.