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Finding the Fourth Proportional to 24,948.42, 37,418.37 and 8,306.56

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Solution

The fourth proportional to 24,948.42, 37,418.37 and 8,306.56 is: 12,458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,948.42 : 37,418.37 = 8,306.56 : x
  2. Step 2: Convert to fraction form
    24,948.42/37,418.37 = 8,306.56/x
  3. Step 3: Cross multiply
    24,948.42x = 37,418.37 × 8,306.56
  4. Step 4: Simplify right side
    24,948.42x = 310,817,935.51
  5. Step 5: Solve for x
    x = 310,817,935.51/24,948.42
  6. Step 6: Final answer
    x = 12,458.42

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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.