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Finding the Fourth Proportional to 18,217, 25,140.24 and 10,259.68

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Solution

The fourth proportional to 18,217, 25,140.24 and 10,259.68 is: 14,158.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,217 : 25,140.24 = 10,259.68 : x
  2. Step 2: Convert to fraction form
    18,217/25,140.24 = 10,259.68/x
  3. Step 3: Cross multiply
    18,217x = 25,140.24 × 10,259.68
  4. Step 4: Simplify right side
    18,217x = 257,930,817.52
  5. Step 5: Solve for x
    x = 257,930,817.52/18,217
  6. Step 6: Final answer
    x = 14,158.80

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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.