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Finding the Fourth Proportional to 23,205.10, 32,017.55 and 13,133.55

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Solution

The fourth proportional to 23,205.10, 32,017.55 and 13,133.55 is: 18,121.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.10 : 32,017.55 = 13,133.55 : x
  2. Step 2: Convert to fraction form
    23,205.10/32,017.55 = 13,133.55/x
  3. Step 3: Cross multiply
    23,205.10x = 32,017.55 × 13,133.55
  4. Step 4: Simplify right side
    23,205.10x = 420,503,966.55
  5. Step 5: Solve for x
    x = 420,503,966.55/23,205.10
  6. Step 6: Final answer
    x = 18,121.19

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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.