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Finding the Fourth Proportional to 13,232.79, 18,261.46 and 7,265

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Solution

The fourth proportional to 13,232.79, 18,261.46 and 7,265 is: 10,025.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232.79 : 18,261.46 = 7,265 : x
  2. Step 2: Convert to fraction form
    13,232.79/18,261.46 = 7,265/x
  3. Step 3: Cross multiply
    13,232.79x = 18,261.46 × 7,265
  4. Step 4: Simplify right side
    13,232.79x = 132,669,506.90
  5. Step 5: Solve for x
    x = 132,669,506.90/13,232.79
  6. Step 6: Final answer
    x = 10,025.82

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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.