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Finding the Fourth Proportional to 24,947.48, 37,427.20 and 8,307.66

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Solution

The fourth proportional to 24,947.48, 37,427.20 and 8,307.66 is: 12,463.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,947.48 : 37,427.20 = 8,307.66 : x
  2. Step 2: Convert to fraction form
    24,947.48/37,427.20 = 8,307.66/x
  3. Step 3: Cross multiply
    24,947.48x = 37,427.20 × 8,307.66
  4. Step 4: Simplify right side
    24,947.48x = 310,932,556.30
  5. Step 5: Solve for x
    x = 310,932,556.30/24,947.48
  6. Step 6: Final answer
    x = 12,463.48

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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.