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Finding the Fourth Proportional to 26,382.64, 36,409.96 and 15,052.38

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Solution

The fourth proportional to 26,382.64, 36,409.96 and 15,052.38 is: 20,773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,382.64 : 36,409.96 = 15,052.38 : x
  2. Step 2: Convert to fraction form
    26,382.64/36,409.96 = 15,052.38/x
  3. Step 3: Cross multiply
    26,382.64x = 36,409.96 × 15,052.38
  4. Step 4: Simplify right side
    26,382.64x = 548,056,569.47
  5. Step 5: Solve for x
    x = 548,056,569.47/26,382.64
  6. Step 6: Final answer
    x = 20,773.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.