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Finding the Fourth Proportional to 15,148.92, 22,744.56 and 7,758.48

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Solution

The fourth proportional to 15,148.92, 22,744.56 and 7,758.48 is: 11,648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,148.92 : 22,744.56 = 7,758.48 : x
  2. Step 2: Convert to fraction form
    15,148.92/22,744.56 = 7,758.48/x
  3. Step 3: Cross multiply
    15,148.92x = 22,744.56 × 7,758.48
  4. Step 4: Simplify right side
    15,148.92x = 176,463,213.87
  5. Step 5: Solve for x
    x = 176,463,213.87/15,148.92
  6. Step 6: Final answer
    x = 11,648.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.