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Finding the Fourth Proportional to 15,744.62, 23,605.32 and 5,210.84

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Solution

The fourth proportional to 15,744.62, 23,605.32 and 5,210.84 is: 7,812.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744.62 : 23,605.32 = 5,210.84 : x
  2. Step 2: Convert to fraction form
    15,744.62/23,605.32 = 5,210.84/x
  3. Step 3: Cross multiply
    15,744.62x = 23,605.32 × 5,210.84
  4. Step 4: Simplify right side
    15,744.62x = 123,003,545.67
  5. Step 5: Solve for x
    x = 123,003,545.67/15,744.62
  6. Step 6: Final answer
    x = 7,812.42

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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.