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Finding the Fourth Proportional to 26,406.78, 36,442.20 and 14,470.88

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Solution

The fourth proportional to 26,406.78, 36,442.20 and 14,470.88 is: 19,970.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,406.78 : 36,442.20 = 14,470.88 : x
  2. Step 2: Convert to fraction form
    26,406.78/36,442.20 = 14,470.88/x
  3. Step 3: Cross multiply
    26,406.78x = 36,442.20 × 14,470.88
  4. Step 4: Simplify right side
    26,406.78x = 527,350,703.14
  5. Step 5: Solve for x
    x = 527,350,703.14/26,406.78
  6. Step 6: Final answer
    x = 19,970.28

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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.