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Finding the Fourth Proportional to 18,922.64, 28,401.44 and 9,569.24

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Solution

The fourth proportional to 18,922.64, 28,401.44 and 9,569.24 is: 14,362.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,922.64 : 28,401.44 = 9,569.24 : x
  2. Step 2: Convert to fraction form
    18,922.64/28,401.44 = 9,569.24/x
  3. Step 3: Cross multiply
    18,922.64x = 28,401.44 × 9,569.24
  4. Step 4: Simplify right side
    18,922.64x = 271,780,195.71
  5. Step 5: Solve for x
    x = 271,780,195.71/18,922.64
  6. Step 6: Final answer
    x = 14,362.70

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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.