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Finding the Fourth Proportional to 24,937.67, 37,394.06 and 8,291.87

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Solution

The fourth proportional to 24,937.67, 37,394.06 and 8,291.87 is: 12,433.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,937.67 : 37,394.06 = 8,291.87 : x
  2. Step 2: Convert to fraction form
    24,937.67/37,394.06 = 8,291.87/x
  3. Step 3: Cross multiply
    24,937.67x = 37,394.06 × 8,291.87
  4. Step 4: Simplify right side
    24,937.67x = 310,066,596.09
  5. Step 5: Solve for x
    x = 310,066,596.09/24,937.67
  6. Step 6: Final answer
    x = 12,433.66

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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.