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Finding the Fourth Proportional to 15,367.68, 22,993.18 and 9,509.76

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Solution

The fourth proportional to 15,367.68, 22,993.18 and 9,509.76 is: 14,228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,367.68 : 22,993.18 = 9,509.76 : x
  2. Step 2: Convert to fraction form
    15,367.68/22,993.18 = 9,509.76/x
  3. Step 3: Cross multiply
    15,367.68x = 22,993.18 × 9,509.76
  4. Step 4: Simplify right side
    15,367.68x = 218,659,623.44
  5. Step 5: Solve for x
    x = 218,659,623.44/15,367.68
  6. Step 6: Final answer
    x = 14,228.54

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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.