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Finding the Fourth Proportional to 23,119.68, 34,675.84 and 7,537.28

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Solution

The fourth proportional to 23,119.68, 34,675.84 and 7,537.28 is: 11,304.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,119.68 : 34,675.84 = 7,537.28 : x
  2. Step 2: Convert to fraction form
    23,119.68/34,675.84 = 7,537.28/x
  3. Step 3: Cross multiply
    23,119.68x = 34,675.84 × 7,537.28
  4. Step 4: Simplify right side
    23,119.68x = 261,361,515.32
  5. Step 5: Solve for x
    x = 261,361,515.32/23,119.68
  6. Step 6: Final answer
    x = 11,304.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.