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Finding the Fourth Proportional to 25,396.48, 38,098.36 and 7,867.68

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Solution

The fourth proportional to 25,396.48, 38,098.36 and 7,867.68 is: 11,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,396.48 : 38,098.36 = 7,867.68 : x
  2. Step 2: Convert to fraction form
    25,396.48/38,098.36 = 7,867.68/x
  3. Step 3: Cross multiply
    25,396.48x = 38,098.36 × 7,867.68
  4. Step 4: Simplify right side
    25,396.48x = 299,745,705.00
  5. Step 5: Solve for x
    x = 299,745,705.00/25,396.48
  6. Step 6: Final answer
    x = 11,802.65

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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.