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Finding the Fourth Proportional to 24,856.29, 37,276.53 and 8,213.22

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Solution

The fourth proportional to 24,856.29, 37,276.53 and 8,213.22 is: 12,317.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,856.29 : 37,276.53 = 8,213.22 : x
  2. Step 2: Convert to fraction form
    24,856.29/37,276.53 = 8,213.22/x
  3. Step 3: Cross multiply
    24,856.29x = 37,276.53 × 8,213.22
  4. Step 4: Simplify right side
    24,856.29x = 306,160,155.34
  5. Step 5: Solve for x
    x = 306,160,155.34/24,856.29
  6. Step 6: Final answer
    x = 12,317.21

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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.