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Finding the Fourth Proportional to 23,726.58, 35,593.14 and 8,142.18

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Solution

The fourth proportional to 23,726.58, 35,593.14 and 8,142.18 is: 12,214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,726.58 : 35,593.14 = 8,142.18 : x
  2. Step 2: Convert to fraction form
    23,726.58/35,593.14 = 8,142.18/x
  3. Step 3: Cross multiply
    23,726.58x = 35,593.14 × 8,142.18
  4. Step 4: Simplify right side
    23,726.58x = 289,805,752.65
  5. Step 5: Solve for x
    x = 289,805,752.65/23,726.58
  6. Step 6: Final answer
    x = 12,214.39

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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.