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Finding the Fourth Proportional to 24,717.68, 34,102 and 14,099.68

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Solution

The fourth proportional to 24,717.68, 34,102 and 14,099.68 is: 19,452.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,717.68 : 34,102 = 14,099.68 : x
  2. Step 2: Convert to fraction form
    24,717.68/34,102 = 14,099.68/x
  3. Step 3: Cross multiply
    24,717.68x = 34,102 × 14,099.68
  4. Step 4: Simplify right side
    24,717.68x = 480,827,287.36
  5. Step 5: Solve for x
    x = 480,827,287.36/24,717.68
  6. Step 6: Final answer
    x = 19,452.77

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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.