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Finding the Fourth Proportional to 23,077.62, 31,866.03 and 14,593.47

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Solution

The fourth proportional to 23,077.62, 31,866.03 and 14,593.47 is: 20,150.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,077.62 : 31,866.03 = 14,593.47 : x
  2. Step 2: Convert to fraction form
    23,077.62/31,866.03 = 14,593.47/x
  3. Step 3: Cross multiply
    23,077.62x = 31,866.03 × 14,593.47
  4. Step 4: Simplify right side
    23,077.62x = 465,035,952.82
  5. Step 5: Solve for x
    x = 465,035,952.82/23,077.62
  6. Step 6: Final answer
    x = 20,150.95

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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.