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Finding the Fourth Proportional to 23,538.75, 35,312.49 and 7,744.65

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Solution

The fourth proportional to 23,538.75, 35,312.49 and 7,744.65 is: 11,618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,538.75 : 35,312.49 = 7,744.65 : x
  2. Step 2: Convert to fraction form
    23,538.75/35,312.49 = 7,744.65/x
  3. Step 3: Cross multiply
    23,538.75x = 35,312.49 × 7,744.65
  4. Step 4: Simplify right side
    23,538.75x = 273,482,875.68
  5. Step 5: Solve for x
    x = 273,482,875.68/23,538.75
  6. Step 6: Final answer
    x = 11,618.41

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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.