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Finding the Fourth Proportional to 12,331.28, 17,014.65 and 7,024.70

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Solution

The fourth proportional to 12,331.28, 17,014.65 and 7,024.70 is: 9,692.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,331.28 : 17,014.65 = 7,024.70 : x
  2. Step 2: Convert to fraction form
    12,331.28/17,014.65 = 7,024.70/x
  3. Step 3: Cross multiply
    12,331.28x = 17,014.65 × 7,024.70
  4. Step 4: Simplify right side
    12,331.28x = 119,522,811.86
  5. Step 5: Solve for x
    x = 119,522,811.86/12,331.28
  6. Step 6: Final answer
    x = 9,692.65

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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.