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Finding the Fourth Proportional to 15,494.17, 21,385.07 and 9,205.33

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Solution

The fourth proportional to 15,494.17, 21,385.07 and 9,205.33 is: 12,705.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,494.17 : 21,385.07 = 9,205.33 : x
  2. Step 2: Convert to fraction form
    15,494.17/21,385.07 = 9,205.33/x
  3. Step 3: Cross multiply
    15,494.17x = 21,385.07 × 9,205.33
  4. Step 4: Simplify right side
    15,494.17x = 196,856,626.42
  5. Step 5: Solve for x
    x = 196,856,626.42/15,494.17
  6. Step 6: Final answer
    x = 12,705.21

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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.