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Finding the Fourth Proportional to 12,218.70, 16,851.32 and 9,696.83

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Solution

The fourth proportional to 12,218.70, 16,851.32 and 9,696.83 is: 13,373.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,218.70 : 16,851.32 = 9,696.83 : x
  2. Step 2: Convert to fraction form
    12,218.70/16,851.32 = 9,696.83/x
  3. Step 3: Cross multiply
    12,218.70x = 16,851.32 × 9,696.83
  4. Step 4: Simplify right side
    12,218.70x = 163,404,252.57
  5. Step 5: Solve for x
    x = 163,404,252.57/12,218.70
  6. Step 6: Final answer
    x = 13,373.29

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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.