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Finding the Fourth Proportional to 15,200.46, 22,811.49 and 5,340.60

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Solution

The fourth proportional to 15,200.46, 22,811.49 and 5,340.60 is: 8,014.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.46 : 22,811.49 = 5,340.60 : x
  2. Step 2: Convert to fraction form
    15,200.46/22,811.49 = 5,340.60/x
  3. Step 3: Cross multiply
    15,200.46x = 22,811.49 × 5,340.60
  4. Step 4: Simplify right side
    15,200.46x = 121,827,043.49
  5. Step 5: Solve for x
    x = 121,827,043.49/15,200.46
  6. Step 6: Final answer
    x = 8,014.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.