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Finding the Fourth Proportional to 25,802.85, 38,704.31 and 7,083.14

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Solution

The fourth proportional to 25,802.85, 38,704.31 and 7,083.14 is: 10,624.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,802.85 : 38,704.31 = 7,083.14 : x
  2. Step 2: Convert to fraction form
    25,802.85/38,704.31 = 7,083.14/x
  3. Step 3: Cross multiply
    25,802.85x = 38,704.31 × 7,083.14
  4. Step 4: Simplify right side
    25,802.85x = 274,148,010.92
  5. Step 5: Solve for x
    x = 274,148,010.92/25,802.85
  6. Step 6: Final answer
    x = 10,624.72

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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.