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Finding the Fourth Proportional to 15,839.59, 23,758.86 and 7,525.57

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Solution

The fourth proportional to 15,839.59, 23,758.86 and 7,525.57 is: 11,288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,839.59 : 23,758.86 = 7,525.57 : x
  2. Step 2: Convert to fraction form
    15,839.59/23,758.86 = 7,525.57/x
  3. Step 3: Cross multiply
    15,839.59x = 23,758.86 × 7,525.57
  4. Step 4: Simplify right side
    15,839.59x = 178,798,964.05
  5. Step 5: Solve for x
    x = 178,798,964.05/15,839.59
  6. Step 6: Final answer
    x = 11,288.11

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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.