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Finding the Fourth Proportional to 13,232.19, 18,260.81 and 7,264.25

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Solution

The fourth proportional to 13,232.19, 18,260.81 and 7,264.25 is: 10,024.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232.19 : 18,260.81 = 7,264.25 : x
  2. Step 2: Convert to fraction form
    13,232.19/18,260.81 = 7,264.25/x
  3. Step 3: Cross multiply
    13,232.19x = 18,260.81 × 7,264.25
  4. Step 4: Simplify right side
    13,232.19x = 132,650,961.42
  5. Step 5: Solve for x
    x = 132,650,961.42/13,232.19
  6. Step 6: Final answer
    x = 10,024.87

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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.