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Finding the Fourth Proportional to 13,829.90, 19,086.88 and 7,862.47

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Solution

The fourth proportional to 13,829.90, 19,086.88 and 7,862.47 is: 10,851.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,829.90 : 19,086.88 = 7,862.47 : x
  2. Step 2: Convert to fraction form
    13,829.90/19,086.88 = 7,862.47/x
  3. Step 3: Cross multiply
    13,829.90x = 19,086.88 × 7,862.47
  4. Step 4: Simplify right side
    13,829.90x = 150,070,021.39
  5. Step 5: Solve for x
    x = 150,070,021.39/13,829.90
  6. Step 6: Final answer
    x = 10,851.13

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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.