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Finding the Fourth Proportional to 13,232.88, 18,261.52 and 7,264.42

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Solution

The fourth proportional to 13,232.88, 18,261.52 and 7,264.42 is: 10,024.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232.88 : 18,261.52 = 7,264.42 : x
  2. Step 2: Convert to fraction form
    13,232.88/18,261.52 = 7,264.42/x
  3. Step 3: Cross multiply
    13,232.88x = 18,261.52 × 7,264.42
  4. Step 4: Simplify right side
    13,232.88x = 132,659,351.12
  5. Step 5: Solve for x
    x = 132,659,351.12/13,232.88
  6. Step 6: Final answer
    x = 10,024.98

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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.