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Finding the Fourth Proportional to 23,034.68, 31,768.26 and 18,557

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Solution

The fourth proportional to 23,034.68, 31,768.26 and 18,557 is: 25,592.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,034.68 : 31,768.26 = 18,557 : x
  2. Step 2: Convert to fraction form
    23,034.68/31,768.26 = 18,557/x
  3. Step 3: Cross multiply
    23,034.68x = 31,768.26 × 18,557
  4. Step 4: Simplify right side
    23,034.68x = 589,523,600.82
  5. Step 5: Solve for x
    x = 589,523,600.82/23,034.68
  6. Step 6: Final answer
    x = 25,592.87

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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.