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Finding the Fourth Proportional to 25,319.96, 37,985 and 7,789.12

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Solution

The fourth proportional to 25,319.96, 37,985 and 7,789.12 is: 11,685.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,319.96 : 37,985 = 7,789.12 : x
  2. Step 2: Convert to fraction form
    25,319.96/37,985 = 7,789.12/x
  3. Step 3: Cross multiply
    25,319.96x = 37,985 × 7,789.12
  4. Step 4: Simplify right side
    25,319.96x = 295,869,723.20
  5. Step 5: Solve for x
    x = 295,869,723.20/25,319.96
  6. Step 6: Final answer
    x = 11,685.24

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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.