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Finding the Fourth Proportional to 22,382.31, 30,886.94 and 12,310.74

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Solution

The fourth proportional to 22,382.31, 30,886.94 and 12,310.74 is: 16,988.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,382.31 : 30,886.94 = 12,310.74 : x
  2. Step 2: Convert to fraction form
    22,382.31/30,886.94 = 12,310.74/x
  3. Step 3: Cross multiply
    22,382.31x = 30,886.94 × 12,310.74
  4. Step 4: Simplify right side
    22,382.31x = 380,241,026.18
  5. Step 5: Solve for x
    x = 380,241,026.18/22,382.31
  6. Step 6: Final answer
    x = 16,988.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.