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Finding the Fourth Proportional to 13,888.97, 19,159.94 and 9,414.12

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Solution

The fourth proportional to 13,888.97, 19,159.94 and 9,414.12 is: 12,986.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,888.97 : 19,159.94 = 9,414.12 : x
  2. Step 2: Convert to fraction form
    13,888.97/19,159.94 = 9,414.12/x
  3. Step 3: Cross multiply
    13,888.97x = 19,159.94 × 9,414.12
  4. Step 4: Simplify right side
    13,888.97x = 180,374,069.74
  5. Step 5: Solve for x
    x = 180,374,069.74/13,888.97
  6. Step 6: Final answer
    x = 12,986.86

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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.