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Finding the Fourth Proportional to 20,871.78, 28,802.89 and 11,440.32

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Solution

The fourth proportional to 20,871.78, 28,802.89 and 11,440.32 is: 15,787.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,871.78 : 28,802.89 = 11,440.32 : x
  2. Step 2: Convert to fraction form
    20,871.78/28,802.89 = 11,440.32/x
  3. Step 3: Cross multiply
    20,871.78x = 28,802.89 × 11,440.32
  4. Step 4: Simplify right side
    20,871.78x = 329,514,278.52
  5. Step 5: Solve for x
    x = 329,514,278.52/20,871.78
  6. Step 6: Final answer
    x = 15,787.55

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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.