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Finding the Fourth Proportional to 12,523.86, 17,281.73 and 7,487.08

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Solution

The fourth proportional to 12,523.86, 17,281.73 and 7,487.08 is: 10,331.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.86 : 17,281.73 = 7,487.08 : x
  2. Step 2: Convert to fraction form
    12,523.86/17,281.73 = 7,487.08/x
  3. Step 3: Cross multiply
    12,523.86x = 17,281.73 × 7,487.08
  4. Step 4: Simplify right side
    12,523.86x = 129,389,695.05
  5. Step 5: Solve for x
    x = 129,389,695.05/12,523.86
  6. Step 6: Final answer
    x = 10,331.45

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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.