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Finding the Fourth Proportional to 15,502.50, 23,253.77 and 7,177.98

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Solution

The fourth proportional to 15,502.50, 23,253.77 and 7,177.98 is: 10,766.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,502.50 : 23,253.77 = 7,177.98 : x
  2. Step 2: Convert to fraction form
    15,502.50/23,253.77 = 7,177.98/x
  3. Step 3: Cross multiply
    15,502.50x = 23,253.77 × 7,177.98
  4. Step 4: Simplify right side
    15,502.50x = 166,915,095.98
  5. Step 5: Solve for x
    x = 166,915,095.98/15,502.50
  6. Step 6: Final answer
    x = 10,766.98

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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.