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Finding the Fourth Proportional to 25,191.30, 37,785.59 and 7,659.77

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Solution

The fourth proportional to 25,191.30, 37,785.59 and 7,659.77 is: 11,489.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,191.30 : 37,785.59 = 7,659.77 : x
  2. Step 2: Convert to fraction form
    25,191.30/37,785.59 = 7,659.77/x
  3. Step 3: Cross multiply
    25,191.30x = 37,785.59 × 7,659.77
  4. Step 4: Simplify right side
    25,191.30x = 289,428,730.21
  5. Step 5: Solve for x
    x = 289,428,730.21/25,191.30
  6. Step 6: Final answer
    x = 11,489.23

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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.