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Finding the Fourth Proportional to 24,717.42, 34,098.30 and 18,000

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Solution

The fourth proportional to 24,717.42, 34,098.30 and 18,000 is: 24,831.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,717.42 : 34,098.30 = 18,000 : x
  2. Step 2: Convert to fraction form
    24,717.42/34,098.30 = 18,000/x
  3. Step 3: Cross multiply
    24,717.42x = 34,098.30 × 18,000
  4. Step 4: Simplify right side
    24,717.42x = 613,769,400
  5. Step 5: Solve for x
    x = 613,769,400/24,717.42
  6. Step 6: Final answer
    x = 24,831.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.