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Finding the Fourth Proportional to 15,200.40, 20,976.88 and 8,394.40

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Solution

The fourth proportional to 15,200.40, 20,976.88 and 8,394.40 is: 11,584.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.40 : 20,976.88 = 8,394.40 : x
  2. Step 2: Convert to fraction form
    15,200.40/20,976.88 = 8,394.40/x
  3. Step 3: Cross multiply
    15,200.40x = 20,976.88 × 8,394.40
  4. Step 4: Simplify right side
    15,200.40x = 176,088,321.47
  5. Step 5: Solve for x
    x = 176,088,321.47/15,200.40
  6. Step 6: Final answer
    x = 11,584.45

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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.