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Finding the Fourth Proportional to 23,132.27, 34,703.85 and 7,549.88

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Solution

The fourth proportional to 23,132.27, 34,703.85 and 7,549.88 is: 11,326.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,132.27 : 34,703.85 = 7,549.88 : x
  2. Step 2: Convert to fraction form
    23,132.27/34,703.85 = 7,549.88/x
  3. Step 3: Cross multiply
    23,132.27x = 34,703.85 × 7,549.88
  4. Step 4: Simplify right side
    23,132.27x = 262,009,729.52
  5. Step 5: Solve for x
    x = 262,009,729.52/23,132.27
  6. Step 6: Final answer
    x = 11,326.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.