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Finding the Fourth Proportional to 23,815.90, 32,866.14 and 13,205.68

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Solution

The fourth proportional to 23,815.90, 32,866.14 and 13,205.68 is: 18,223.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,815.90 : 32,866.14 = 13,205.68 : x
  2. Step 2: Convert to fraction form
    23,815.90/32,866.14 = 13,205.68/x
  3. Step 3: Cross multiply
    23,815.90x = 32,866.14 × 13,205.68
  4. Step 4: Simplify right side
    23,815.90x = 434,019,727.68
  5. Step 5: Solve for x
    x = 434,019,727.68/23,815.90
  6. Step 6: Final answer
    x = 18,223.95

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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.