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Finding the Fourth Proportional to 15,823.20, 23,686.20 and 11,449.20

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Solution

The fourth proportional to 15,823.20, 23,686.20 and 11,449.20 is: 17,138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823.20 : 23,686.20 = 11,449.20 : x
  2. Step 2: Convert to fraction form
    15,823.20/23,686.20 = 11,449.20/x
  3. Step 3: Cross multiply
    15,823.20x = 23,686.20 × 11,449.20
  4. Step 4: Simplify right side
    15,823.20x = 271,188,041.04
  5. Step 5: Solve for x
    x = 271,188,041.04/15,823.20
  6. Step 6: Final answer
    x = 17,138.63

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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.