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Finding the Fourth Proportional to 20,038.86, 27,653.89 and 11,542.47

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Solution

The fourth proportional to 20,038.86, 27,653.89 and 11,542.47 is: 15,928.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,038.86 : 27,653.89 = 11,542.47 : x
  2. Step 2: Convert to fraction form
    20,038.86/27,653.89 = 11,542.47/x
  3. Step 3: Cross multiply
    20,038.86x = 27,653.89 × 11,542.47
  4. Step 4: Simplify right side
    20,038.86x = 319,194,195.71
  5. Step 5: Solve for x
    x = 319,194,195.71/20,038.86
  6. Step 6: Final answer
    x = 15,928.76

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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.