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Finding the Fourth Proportional to 26,232.52, 36,200.40 and 14,295.96

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Solution

The fourth proportional to 26,232.52, 36,200.40 and 14,295.96 is: 19,728.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,232.52 : 36,200.40 = 14,295.96 : x
  2. Step 2: Convert to fraction form
    26,232.52/36,200.40 = 14,295.96/x
  3. Step 3: Cross multiply
    26,232.52x = 36,200.40 × 14,295.96
  4. Step 4: Simplify right side
    26,232.52x = 517,519,470.38
  5. Step 5: Solve for x
    x = 517,519,470.38/26,232.52
  6. Step 6: Final answer
    x = 19,728.16

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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.