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Finding the Fourth Proportional to 15,982.32, 22,057.74 and 8,909.40

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Solution

The fourth proportional to 15,982.32, 22,057.74 and 8,909.40 is: 12,296.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,982.32 : 22,057.74 = 8,909.40 : x
  2. Step 2: Convert to fraction form
    15,982.32/22,057.74 = 8,909.40/x
  3. Step 3: Cross multiply
    15,982.32x = 22,057.74 × 8,909.40
  4. Step 4: Simplify right side
    15,982.32x = 196,521,228.76
  5. Step 5: Solve for x
    x = 196,521,228.76/15,982.32
  6. Step 6: Final answer
    x = 12,296.16

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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.