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Finding the Fourth Proportional to 15,442.80, 23,164.23 and 4,349.49

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Solution

The fourth proportional to 15,442.80, 23,164.23 and 4,349.49 is: 6,524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,442.80 : 23,164.23 = 4,349.49 : x
  2. Step 2: Convert to fraction form
    15,442.80/23,164.23 = 4,349.49/x
  3. Step 3: Cross multiply
    15,442.80x = 23,164.23 × 4,349.49
  4. Step 4: Simplify right side
    15,442.80x = 100,752,586.74
  5. Step 5: Solve for x
    x = 100,752,586.74/15,442.80
  6. Step 6: Final answer
    x = 6,524.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.