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Finding the Fourth Proportional to 16,094.31, 22,211.60 and 9,382.11

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Solution

The fourth proportional to 16,094.31, 22,211.60 and 9,382.11 is: 12,948.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,094.31 : 22,211.60 = 9,382.11 : x
  2. Step 2: Convert to fraction form
    16,094.31/22,211.60 = 9,382.11/x
  3. Step 3: Cross multiply
    16,094.31x = 22,211.60 × 9,382.11
  4. Step 4: Simplify right side
    16,094.31x = 208,391,627.57
  5. Step 5: Solve for x
    x = 208,391,627.57/16,094.31
  6. Step 6: Final answer
    x = 12,948.16

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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.