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Finding the Fourth Proportional to 17,822.20, 24,594.85 and 9,865.16

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Solution

The fourth proportional to 17,822.20, 24,594.85 and 9,865.16 is: 13,614.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822.20 : 24,594.85 = 9,865.16 : x
  2. Step 2: Convert to fraction form
    17,822.20/24,594.85 = 9,865.16/x
  3. Step 3: Cross multiply
    17,822.20x = 24,594.85 × 9,865.16
  4. Step 4: Simplify right side
    17,822.20x = 242,632,204.24
  5. Step 5: Solve for x
    x = 242,632,204.24/17,822.20
  6. Step 6: Final answer
    x = 13,614.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.