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Finding the Fourth Proportional to 25,349.85, 38,012.09 and 7,817.40

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Solution

The fourth proportional to 25,349.85, 38,012.09 and 7,817.40 is: 11,722.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,349.85 : 38,012.09 = 7,817.40 : x
  2. Step 2: Convert to fraction form
    25,349.85/38,012.09 = 7,817.40/x
  3. Step 3: Cross multiply
    25,349.85x = 38,012.09 × 7,817.40
  4. Step 4: Simplify right side
    25,349.85x = 297,155,673.28
  5. Step 5: Solve for x
    x = 297,155,673.28/25,349.85
  6. Step 6: Final answer
    x = 11,722.19

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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.