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Finding the Fourth Proportional to 24,871.16, 37,306.76 and 8,226.74

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Solution

The fourth proportional to 24,871.16, 37,306.76 and 8,226.74 is: 12,340.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,871.16 : 37,306.76 = 8,226.74 : x
  2. Step 2: Convert to fraction form
    24,871.16/37,306.76 = 8,226.74/x
  3. Step 3: Cross multiply
    24,871.16x = 37,306.76 × 8,226.74
  4. Step 4: Simplify right side
    24,871.16x = 306,913,014.76
  5. Step 5: Solve for x
    x = 306,913,014.76/24,871.16
  6. Step 6: Final answer
    x = 12,340.12

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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.