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Finding the Fourth Proportional to 17,298.71, 23,872.47 and 10,225.14

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Solution

The fourth proportional to 17,298.71, 23,872.47 and 10,225.14 is: 14,110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,298.71 : 23,872.47 = 10,225.14 : x
  2. Step 2: Convert to fraction form
    17,298.71/23,872.47 = 10,225.14/x
  3. Step 3: Cross multiply
    17,298.71x = 23,872.47 × 10,225.14
  4. Step 4: Simplify right side
    17,298.71x = 244,099,277.55
  5. Step 5: Solve for x
    x = 244,099,277.55/17,298.71
  6. Step 6: Final answer
    x = 14,110.83

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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.