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Finding the Fourth Proportional to 24,949.32, 34,429.72 and 13,619

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Solution

The fourth proportional to 24,949.32, 34,429.72 and 13,619 is: 18,794.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,949.32 : 34,429.72 = 13,619 : x
  2. Step 2: Convert to fraction form
    24,949.32/34,429.72 = 13,619/x
  3. Step 3: Cross multiply
    24,949.32x = 34,429.72 × 13,619
  4. Step 4: Simplify right side
    24,949.32x = 468,898,356.68
  5. Step 5: Solve for x
    x = 468,898,356.68/24,949.32
  6. Step 6: Final answer
    x = 18,794.03

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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.