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Finding the Fourth Proportional to 17,647.65, 24,344.57 and 14,294.25

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Solution

The fourth proportional to 17,647.65, 24,344.57 and 14,294.25 is: 19,718.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.65 : 24,344.57 = 14,294.25 : x
  2. Step 2: Convert to fraction form
    17,647.65/24,344.57 = 14,294.25/x
  3. Step 3: Cross multiply
    17,647.65x = 24,344.57 × 14,294.25
  4. Step 4: Simplify right side
    17,647.65x = 347,987,298.25
  5. Step 5: Solve for x
    x = 347,987,298.25/17,647.65
  6. Step 6: Final answer
    x = 19,718.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.