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Finding the Fourth Proportional to 15,117.46, 22,678.17 and 5,257.48

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Solution

The fourth proportional to 15,117.46, 22,678.17 and 5,257.48 is: 7,886.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,117.46 : 22,678.17 = 5,257.48 : x
  2. Step 2: Convert to fraction form
    15,117.46/22,678.17 = 5,257.48/x
  3. Step 3: Cross multiply
    15,117.46x = 22,678.17 × 5,257.48
  4. Step 4: Simplify right side
    15,117.46x = 119,230,025.21
  5. Step 5: Solve for x
    x = 119,230,025.21/15,117.46
  6. Step 6: Final answer
    x = 7,886.91

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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.