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Finding the Fourth Proportional to 13,232.94, 18,261.10 and 7,265.16

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Solution

The fourth proportional to 13,232.94, 18,261.10 and 7,265.16 is: 10,025.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232.94 : 18,261.10 = 7,265.16 : x
  2. Step 2: Convert to fraction form
    13,232.94/18,261.10 = 7,265.16/x
  3. Step 3: Cross multiply
    13,232.94x = 18,261.10 × 7,265.16
  4. Step 4: Simplify right side
    13,232.94x = 132,669,813.28
  5. Step 5: Solve for x
    x = 132,669,813.28/13,232.94
  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.