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Finding the Fourth Proportional to 13,101.74, 18,080.86 and 7,436.50

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Solution

The fourth proportional to 13,101.74, 18,080.86 and 7,436.50 is: 10,262.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.74 : 18,080.86 = 7,436.50 : x
  2. Step 2: Convert to fraction form
    13,101.74/18,080.86 = 7,436.50/x
  3. Step 3: Cross multiply
    13,101.74x = 18,080.86 × 7,436.50
  4. Step 4: Simplify right side
    13,101.74x = 134,458,315.39
  5. Step 5: Solve for x
    x = 134,458,315.39/13,101.74
  6. Step 6: Final answer
    x = 10,262.63

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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.