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Finding the Fourth Proportional to 24,822.12, 37,225.17 and 8,178.19

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Solution

The fourth proportional to 24,822.12, 37,225.17 and 8,178.19 is: 12,264.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,822.12 : 37,225.17 = 8,178.19 : x
  2. Step 2: Convert to fraction form
    24,822.12/37,225.17 = 8,178.19/x
  3. Step 3: Cross multiply
    24,822.12x = 37,225.17 × 8,178.19
  4. Step 4: Simplify right side
    24,822.12x = 304,434,513.04
  5. Step 5: Solve for x
    x = 304,434,513.04/24,822.12
  6. Step 6: Final answer
    x = 12,264.65

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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.