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Finding the Fourth Proportional to 13,852.76, 19,116.80 and 8,189.55

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Solution

The fourth proportional to 13,852.76, 19,116.80 and 8,189.55 is: 11,301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.76 : 19,116.80 = 8,189.55 : x
  2. Step 2: Convert to fraction form
    13,852.76/19,116.80 = 8,189.55/x
  3. Step 3: Cross multiply
    13,852.76x = 19,116.80 × 8,189.55
  4. Step 4: Simplify right side
    13,852.76x = 156,557,948.49
  5. Step 5: Solve for x
    x = 156,557,948.49/13,852.76
  6. Step 6: Final answer
    x = 11,301.57

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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.