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Finding the Fourth Proportional to 20,148.74, 30,223.07 and 5,357.66

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Solution

The fourth proportional to 20,148.74, 30,223.07 and 5,357.66 is: 8,036.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,148.74 : 30,223.07 = 5,357.66 : x
  2. Step 2: Convert to fraction form
    20,148.74/30,223.07 = 5,357.66/x
  3. Step 3: Cross multiply
    20,148.74x = 30,223.07 × 5,357.66
  4. Step 4: Simplify right side
    20,148.74x = 161,924,933.22
  5. Step 5: Solve for x
    x = 161,924,933.22/20,148.74
  6. Step 6: Final answer
    x = 8,036.48

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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.