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Finding the Fourth Proportional to 18,569.10, 27,856.74 and 9,209.43

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Solution

The fourth proportional to 18,569.10, 27,856.74 and 9,209.43 is: 13,815.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,569.10 : 27,856.74 = 9,209.43 : x
  2. Step 2: Convert to fraction form
    18,569.10/27,856.74 = 9,209.43/x
  3. Step 3: Cross multiply
    18,569.10x = 27,856.74 × 9,209.43
  4. Step 4: Simplify right side
    18,569.10x = 256,544,697.06
  5. Step 5: Solve for x
    x = 256,544,697.06/18,569.10
  6. Step 6: Final answer
    x = 13,815.68

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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.