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Finding the Fourth Proportional to 24,647.84, 34,014.48 and 13,470.24

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Solution

The fourth proportional to 24,647.84, 34,014.48 and 13,470.24 is: 18,589.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,647.84 : 34,014.48 = 13,470.24 : x
  2. Step 2: Convert to fraction form
    24,647.84/34,014.48 = 13,470.24/x
  3. Step 3: Cross multiply
    24,647.84x = 34,014.48 × 13,470.24
  4. Step 4: Simplify right side
    24,647.84x = 458,183,209.08
  5. Step 5: Solve for x
    x = 458,183,209.08/24,647.84
  6. Step 6: Final answer
    x = 18,589.18

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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.