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Finding the Fourth Proportional to 25,609.53, 38,412.95 and 7,840.21

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Solution

The fourth proportional to 25,609.53, 38,412.95 and 7,840.21 is: 11,759.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,609.53 : 38,412.95 = 7,840.21 : x
  2. Step 2: Convert to fraction form
    25,609.53/38,412.95 = 7,840.21/x
  3. Step 3: Cross multiply
    25,609.53x = 38,412.95 × 7,840.21
  4. Step 4: Simplify right side
    25,609.53x = 301,165,575.61
  5. Step 5: Solve for x
    x = 301,165,575.61/25,609.53
  6. Step 6: Final answer
    x = 11,759.90

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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.