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Finding the Fourth Proportional to 23,268.33, 32,110.15 and 12,658

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Solution

The fourth proportional to 23,268.33, 32,110.15 and 12,658 is: 17,467.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,268.33 : 32,110.15 = 12,658 : x
  2. Step 2: Convert to fraction form
    23,268.33/32,110.15 = 12,658/x
  3. Step 3: Cross multiply
    23,268.33x = 32,110.15 × 12,658
  4. Step 4: Simplify right side
    23,268.33x = 406,450,278.70
  5. Step 5: Solve for x
    x = 406,450,278.70/23,268.33
  6. Step 6: Final answer
    x = 17,467.96

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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.