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Finding the Fourth Proportional to 13,523.46, 18,658.67 and 9,275.57

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Solution

The fourth proportional to 13,523.46, 18,658.67 and 9,275.57 is: 12,797.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523.46 : 18,658.67 = 9,275.57 : x
  2. Step 2: Convert to fraction form
    13,523.46/18,658.67 = 9,275.57/x
  3. Step 3: Cross multiply
    13,523.46x = 18,658.67 × 9,275.57
  4. Step 4: Simplify right side
    13,523.46x = 173,069,753.31
  5. Step 5: Solve for x
    x = 173,069,753.31/13,523.46
  6. Step 6: Final answer
    x = 12,797.75

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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.