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Finding the Fourth Proportional to 13,101.98, 18,080.19 and 7,436.61

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Solution

The fourth proportional to 13,101.98, 18,080.19 and 7,436.61 is: 10,262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.98 : 18,080.19 = 7,436.61 : x
  2. Step 2: Convert to fraction form
    13,101.98/18,080.19 = 7,436.61/x
  3. Step 3: Cross multiply
    13,101.98x = 18,080.19 × 7,436.61
  4. Step 4: Simplify right side
    13,101.98x = 134,455,321.76
  5. Step 5: Solve for x
    x = 134,455,321.76/13,101.98
  6. Step 6: Final answer
    x = 10,262.22

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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.