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Finding the Fourth Proportional to 13,862.97, 19,125.18 and 10,077.84

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Solution

The fourth proportional to 13,862.97, 19,125.18 and 10,077.84 is: 13,903.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862.97 : 19,125.18 = 10,077.84 : x
  2. Step 2: Convert to fraction form
    13,862.97/19,125.18 = 10,077.84/x
  3. Step 3: Cross multiply
    13,862.97x = 19,125.18 × 10,077.84
  4. Step 4: Simplify right side
    13,862.97x = 192,740,504.01
  5. Step 5: Solve for x
    x = 192,740,504.01/13,862.97
  6. Step 6: Final answer
    x = 13,903.26

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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.