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Finding the Fourth Proportional to 27,807.63, 38,374.52 and 15,232.38

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Solution

The fourth proportional to 27,807.63, 38,374.52 and 15,232.38 is: 21,020.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807.63 : 38,374.52 = 15,232.38 : x
  2. Step 2: Convert to fraction form
    27,807.63/38,374.52 = 15,232.38/x
  3. Step 3: Cross multiply
    27,807.63x = 38,374.52 × 15,232.38
  4. Step 4: Simplify right side
    27,807.63x = 584,535,270.96
  5. Step 5: Solve for x
    x = 584,535,270.96/27,807.63
  6. Step 6: Final answer
    x = 21,020.68

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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.