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Finding the Fourth Proportional to 24,853.90, 37,272.94 and 8,210.82

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Solution

The fourth proportional to 24,853.90, 37,272.94 and 8,210.82 is: 12,313.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,853.90 : 37,272.94 = 8,210.82 : x
  2. Step 2: Convert to fraction form
    24,853.90/37,272.94 = 8,210.82/x
  3. Step 3: Cross multiply
    24,853.90x = 37,272.94 × 8,210.82
  4. Step 4: Simplify right side
    24,853.90x = 306,041,401.21
  5. Step 5: Solve for x
    x = 306,041,401.21/24,853.90
  6. Step 6: Final answer
    x = 12,313.62

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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.