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Finding the Fourth Proportional to 22,873.92, 31,549.05 and 16,152.54

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Solution

The fourth proportional to 22,873.92, 31,549.05 and 16,152.54 is: 22,278.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,873.92 : 31,549.05 = 16,152.54 : x
  2. Step 2: Convert to fraction form
    22,873.92/31,549.05 = 16,152.54/x
  3. Step 3: Cross multiply
    22,873.92x = 31,549.05 × 16,152.54
  4. Step 4: Simplify right side
    22,873.92x = 509,597,292.09
  5. Step 5: Solve for x
    x = 509,597,292.09/22,873.92
  6. Step 6: Final answer
    x = 22,278.53

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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.