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Finding the Fourth Proportional to 13,102.62, 18,080.69 and 7,437.48

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Solution

The fourth proportional to 13,102.62, 18,080.69 and 7,437.48 is: 10,263.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.62 : 18,080.69 = 7,437.48 : x
  2. Step 2: Convert to fraction form
    13,102.62/18,080.69 = 7,437.48/x
  3. Step 3: Cross multiply
    13,102.62x = 18,080.69 × 7,437.48
  4. Step 4: Simplify right side
    13,102.62x = 134,474,679.86
  5. Step 5: Solve for x
    x = 134,474,679.86/13,102.62
  6. Step 6: Final answer
    x = 10,263.19

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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.