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Finding the Fourth Proportional to 25,579.66, 38,371.73 and 7,814.33

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Solution

The fourth proportional to 25,579.66, 38,371.73 and 7,814.33 is: 11,722.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,579.66 : 38,371.73 = 7,814.33 : x
  2. Step 2: Convert to fraction form
    25,579.66/38,371.73 = 7,814.33/x
  3. Step 3: Cross multiply
    25,579.66x = 38,371.73 × 7,814.33
  4. Step 4: Simplify right side
    25,579.66x = 299,849,188.57
  5. Step 5: Solve for x
    x = 299,849,188.57/25,579.66
  6. Step 6: Final answer
    x = 11,722.17

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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.