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Finding the Fourth Proportional to 25,222.12, 37,834.62 and 7,693.16

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Solution

The fourth proportional to 25,222.12, 37,834.62 and 7,693.16 is: 11,540.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,222.12 : 37,834.62 = 7,693.16 : x
  2. Step 2: Convert to fraction form
    25,222.12/37,834.62 = 7,693.16/x
  3. Step 3: Cross multiply
    25,222.12x = 37,834.62 × 7,693.16
  4. Step 4: Simplify right side
    25,222.12x = 291,067,785.20
  5. Step 5: Solve for x
    x = 291,067,785.20/25,222.12
  6. Step 6: Final answer
    x = 11,540.18

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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.