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Finding the Fourth Proportional to 16,863.90, 23,271.91 and 9,694.18

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Solution

The fourth proportional to 16,863.90, 23,271.91 and 9,694.18 is: 13,377.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,863.90 : 23,271.91 = 9,694.18 : x
  2. Step 2: Convert to fraction form
    16,863.90/23,271.91 = 9,694.18/x
  3. Step 3: Cross multiply
    16,863.90x = 23,271.91 × 9,694.18
  4. Step 4: Simplify right side
    16,863.90x = 225,602,089.34
  5. Step 5: Solve for x
    x = 225,602,089.34/16,863.90
  6. Step 6: Final answer
    x = 13,377.82

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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.