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Finding the Fourth Proportional to 25,189.04, 37,785.68 and 7,659

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Solution

The fourth proportional to 25,189.04, 37,785.68 and 7,659 is: 11,489.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,189.04 : 37,785.68 = 7,659 : x
  2. Step 2: Convert to fraction form
    25,189.04/37,785.68 = 7,659/x
  3. Step 3: Cross multiply
    25,189.04x = 37,785.68 × 7,659
  4. Step 4: Simplify right side
    25,189.04x = 289,400,523.12
  5. Step 5: Solve for x
    x = 289,400,523.12/25,189.04
  6. Step 6: Final answer
    x = 11,489.14

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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.