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Finding the Fourth Proportional to 14,227.13, 19,634.52 and 7,854.95

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Solution

The fourth proportional to 14,227.13, 19,634.52 and 7,854.95 is: 10,840.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,227.13 : 19,634.52 = 7,854.95 : x
  2. Step 2: Convert to fraction form
    14,227.13/19,634.52 = 7,854.95/x
  3. Step 3: Cross multiply
    14,227.13x = 19,634.52 × 7,854.95
  4. Step 4: Simplify right side
    14,227.13x = 154,228,140.97
  5. Step 5: Solve for x
    x = 154,228,140.97/14,227.13
  6. Step 6: Final answer
    x = 10,840.43

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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.