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Finding the Fourth Proportional to 13,851.90, 19,114.65 and 8,186.40

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Solution

The fourth proportional to 13,851.90, 19,114.65 and 8,186.40 is: 11,296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.90 : 19,114.65 = 8,186.40 : x
  2. Step 2: Convert to fraction form
    13,851.90/19,114.65 = 8,186.40/x
  3. Step 3: Cross multiply
    13,851.90x = 19,114.65 × 8,186.40
  4. Step 4: Simplify right side
    13,851.90x = 156,480,170.76
  5. Step 5: Solve for x
    x = 156,480,170.76/13,851.90
  6. Step 6: Final answer
    x = 11,296.66

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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.