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Finding the Fourth Proportional to 15,322.20, 22,983.30 and 13,378.20

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Solution

The fourth proportional to 15,322.20, 22,983.30 and 13,378.20 is: 20,067.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,322.20 : 22,983.30 = 13,378.20 : x
  2. Step 2: Convert to fraction form
    15,322.20/22,983.30 = 13,378.20/x
  3. Step 3: Cross multiply
    15,322.20x = 22,983.30 × 13,378.20
  4. Step 4: Simplify right side
    15,322.20x = 307,475,184.06
  5. Step 5: Solve for x
    x = 307,475,184.06/15,322.20
  6. Step 6: Final answer
    x = 20,067.30

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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.