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Finding the Fourth Proportional to 23,822.16, 32,871.78 and 13,209.18

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Solution

The fourth proportional to 23,822.16, 32,871.78 and 13,209.18 is: 18,227.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822.16 : 32,871.78 = 13,209.18 : x
  2. Step 2: Convert to fraction form
    23,822.16/32,871.78 = 13,209.18/x
  3. Step 3: Cross multiply
    23,822.16x = 32,871.78 × 13,209.18
  4. Step 4: Simplify right side
    23,822.16x = 434,209,258.94
  5. Step 5: Solve for x
    x = 434,209,258.94/23,822.16
  6. Step 6: Final answer
    x = 18,227.12

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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.