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Finding the Fourth Proportional to 24,869.17, 37,303.76 and 8,224.73

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Solution

The fourth proportional to 24,869.17, 37,303.76 and 8,224.73 is: 12,337.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,869.17 : 37,303.76 = 8,224.73 : x
  2. Step 2: Convert to fraction form
    24,869.17/37,303.76 = 8,224.73/x
  3. Step 3: Cross multiply
    24,869.17x = 37,303.76 × 8,224.73
  4. Step 4: Simplify right side
    24,869.17x = 306,813,406.12
  5. Step 5: Solve for x
    x = 306,813,406.12/24,869.17
  6. Step 6: Final answer
    x = 12,337.10

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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.