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Finding the Fourth Proportional to 23,822.16, 32,871.76 and 13,209.20

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Solution

The fourth proportional to 23,822.16, 32,871.76 and 13,209.20 is: 18,227.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822.16 : 32,871.76 = 13,209.20 : x
  2. Step 2: Convert to fraction form
    23,822.16/32,871.76 = 13,209.20/x
  3. Step 3: Cross multiply
    23,822.16x = 32,871.76 × 13,209.20
  4. Step 4: Simplify right side
    23,822.16x = 434,209,652.19
  5. Step 5: Solve for x
    x = 434,209,652.19/23,822.16
  6. Step 6: Final answer
    x = 18,227.13

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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.