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Finding the Fourth Proportional to 12,189.60, 16,823.28 and 6,886.44

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Solution

The fourth proportional to 12,189.60, 16,823.28 and 6,886.44 is: 9,504.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.60 : 16,823.28 = 6,886.44 : x
  2. Step 2: Convert to fraction form
    12,189.60/16,823.28 = 6,886.44/x
  3. Step 3: Cross multiply
    12,189.60x = 16,823.28 × 6,886.44
  4. Step 4: Simplify right side
    12,189.60x = 115,852,508.32
  5. Step 5: Solve for x
    x = 115,852,508.32/12,189.60
  6. Step 6: Final answer
    x = 9,504.21

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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.