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Finding the Fourth Proportional to 24,749.16, 37,123.17 and 6,029.28

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Solution

The fourth proportional to 24,749.16, 37,123.17 and 6,029.28 is: 9,043.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,749.16 : 37,123.17 = 6,029.28 : x
  2. Step 2: Convert to fraction form
    24,749.16/37,123.17 = 6,029.28/x
  3. Step 3: Cross multiply
    24,749.16x = 37,123.17 × 6,029.28
  4. Step 4: Simplify right side
    24,749.16x = 223,825,986.42
  5. Step 5: Solve for x
    x = 223,825,986.42/24,749.16
  6. Step 6: Final answer
    x = 9,043.78

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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.