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Finding the Fourth Proportional to 27,154.17, 40,698.45 and 12,342.78

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Solution

The fourth proportional to 27,154.17, 40,698.45 and 12,342.78 is: 18,499.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,154.17 : 40,698.45 = 12,342.78 : x
  2. Step 2: Convert to fraction form
    27,154.17/40,698.45 = 12,342.78/x
  3. Step 3: Cross multiply
    27,154.17x = 40,698.45 × 12,342.78
  4. Step 4: Simplify right side
    27,154.17x = 502,332,014.69
  5. Step 5: Solve for x
    x = 502,332,014.69/27,154.17
  6. Step 6: Final answer
    x = 18,499.26

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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.