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Finding the Fourth Proportional to 16,534.44, 24,805.38 and 5,442.24

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Solution

The fourth proportional to 16,534.44, 24,805.38 and 5,442.24 is: 8,164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534.44 : 24,805.38 = 5,442.24 : x
  2. Step 2: Convert to fraction form
    16,534.44/24,805.38 = 5,442.24/x
  3. Step 3: Cross multiply
    16,534.44x = 24,805.38 × 5,442.24
  4. Step 4: Simplify right side
    16,534.44x = 134,996,831.25
  5. Step 5: Solve for x
    x = 134,996,831.25/16,534.44
  6. Step 6: Final answer
    x = 8,164.58

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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.