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Finding the Fourth Proportional to 14,141.97, 19,497.35 and 11,754

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Solution

The fourth proportional to 14,141.97, 19,497.35 and 11,754 is: 16,205.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.97 : 19,497.35 = 11,754 : x
  2. Step 2: Convert to fraction form
    14,141.97/19,497.35 = 11,754/x
  3. Step 3: Cross multiply
    14,141.97x = 19,497.35 × 11,754
  4. Step 4: Simplify right side
    14,141.97x = 229,171,793.13
  5. Step 5: Solve for x
    x = 229,171,793.13/14,141.97
  6. Step 6: Final answer
    x = 16,205.08

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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.