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Finding the Fourth Proportional to 13,232.80, 18,261.66 and 7,264.86

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Solution

The fourth proportional to 13,232.80, 18,261.66 and 7,264.86 is: 10,025.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232.80 : 18,261.66 = 7,264.86 : x
  2. Step 2: Convert to fraction form
    13,232.80/18,261.66 = 7,264.86/x
  3. Step 3: Cross multiply
    13,232.80x = 18,261.66 × 7,264.86
  4. Step 4: Simplify right side
    13,232.80x = 132,668,403.27
  5. Step 5: Solve for x
    x = 132,668,403.27/13,232.80
  6. Step 6: Final answer
    x = 10,025.72

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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.