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Finding the Fourth Proportional to 15,494.20, 21,385.08 and 9,205.36

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Solution

The fourth proportional to 15,494.20, 21,385.08 and 9,205.36 is: 12,705.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,494.20 : 21,385.08 = 9,205.36 : x
  2. Step 2: Convert to fraction form
    15,494.20/21,385.08 = 9,205.36/x
  3. Step 3: Cross multiply
    15,494.20x = 21,385.08 × 9,205.36
  4. Step 4: Simplify right side
    15,494.20x = 196,857,360.03
  5. Step 5: Solve for x
    x = 196,857,360.03/15,494.20
  6. Step 6: Final answer
    x = 12,705.23

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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.