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Finding the Fourth Proportional to 17,675.97, 24,392.28 and 9,718.17

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Solution

The fourth proportional to 17,675.97, 24,392.28 and 9,718.17 is: 13,410.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,675.97 : 24,392.28 = 9,718.17 : x
  2. Step 2: Convert to fraction form
    17,675.97/24,392.28 = 9,718.17/x
  3. Step 3: Cross multiply
    17,675.97x = 24,392.28 × 9,718.17
  4. Step 4: Simplify right side
    17,675.97x = 237,048,323.73
  5. Step 5: Solve for x
    x = 237,048,323.73/17,675.97
  6. Step 6: Final answer
    x = 13,410.77

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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.