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Finding the Fourth Proportional to 23,382.49, 35,074.95 and 11,691.76

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Solution

The fourth proportional to 23,382.49, 35,074.95 and 11,691.76 is: 17,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,382.49 : 35,074.95 = 11,691.76 : x
  2. Step 2: Convert to fraction form
    23,382.49/35,074.95 = 11,691.76/x
  3. Step 3: Cross multiply
    23,382.49x = 35,074.95 × 11,691.76
  4. Step 4: Simplify right side
    23,382.49x = 410,087,897.41
  5. Step 5: Solve for x
    x = 410,087,897.41/23,382.49
  6. Step 6: Final answer
    x = 17,538.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.