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Finding the Fourth Proportional to 25,191.68, 37,785.54 and 7,661.48

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Solution

The fourth proportional to 25,191.68, 37,785.54 and 7,661.48 is: 11,491.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,191.68 : 37,785.54 = 7,661.48 : x
  2. Step 2: Convert to fraction form
    25,191.68/37,785.54 = 7,661.48/x
  3. Step 3: Cross multiply
    25,191.68x = 37,785.54 × 7,661.48
  4. Step 4: Simplify right side
    25,191.68x = 289,493,159.00
  5. Step 5: Solve for x
    x = 289,493,159.00/25,191.68
  6. Step 6: Final answer
    x = 11,491.62

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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.