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Finding the Fourth Proportional to 15,471, 23,207.04 and 5,083.56

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Solution

The fourth proportional to 15,471, 23,207.04 and 5,083.56 is: 7,625.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471 : 23,207.04 = 5,083.56 : x
  2. Step 2: Convert to fraction form
    15,471/23,207.04 = 5,083.56/x
  3. Step 3: Cross multiply
    15,471x = 23,207.04 × 5,083.56
  4. Step 4: Simplify right side
    15,471x = 117,974,380.26
  5. Step 5: Solve for x
    x = 117,974,380.26/15,471
  6. Step 6: Final answer
    x = 7,625.52

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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.