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Finding the Fourth Proportional to 15,200.32, 20,970.80 and 8,910.40

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Solution

The fourth proportional to 15,200.32, 20,970.80 and 8,910.40 is: 12,293.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.32 : 20,970.80 = 8,910.40 : x
  2. Step 2: Convert to fraction form
    15,200.32/20,970.80 = 8,910.40/x
  3. Step 3: Cross multiply
    15,200.32x = 20,970.80 × 8,910.40
  4. Step 4: Simplify right side
    15,200.32x = 186,858,216.32
  5. Step 5: Solve for x
    x = 186,858,216.32/15,200.32
  6. Step 6: Final answer
    x = 12,293.04

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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.