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Finding the Fourth Proportional to 15,980.20, 22,048.42 and 8,905

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Solution

The fourth proportional to 15,980.20, 22,048.42 and 8,905 is: 12,286.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,980.20 : 22,048.42 = 8,905 : x
  2. Step 2: Convert to fraction form
    15,980.20/22,048.42 = 8,905/x
  3. Step 3: Cross multiply
    15,980.20x = 22,048.42 × 8,905
  4. Step 4: Simplify right side
    15,980.20x = 196,341,180.10
  5. Step 5: Solve for x
    x = 196,341,180.10/15,980.20
  6. Step 6: Final answer
    x = 12,286.53

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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.