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Finding the Fourth Proportional to 12,111.40, 18,188.70 and 8,828.20

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Solution

The fourth proportional to 12,111.40, 18,188.70 and 8,828.20 is: 13,258.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.40 : 18,188.70 = 8,828.20 : x
  2. Step 2: Convert to fraction form
    12,111.40/18,188.70 = 8,828.20/x
  3. Step 3: Cross multiply
    12,111.40x = 18,188.70 × 8,828.20
  4. Step 4: Simplify right side
    12,111.40x = 160,573,481.34
  5. Step 5: Solve for x
    x = 160,573,481.34/12,111.40
  6. Step 6: Final answer
    x = 13,258.04

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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.