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Finding the Fourth Proportional to 24,297.76, 33,528.90 and 13,690

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Solution

The fourth proportional to 24,297.76, 33,528.90 and 13,690 is: 18,891.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,297.76 : 33,528.90 = 13,690 : x
  2. Step 2: Convert to fraction form
    24,297.76/33,528.90 = 13,690/x
  3. Step 3: Cross multiply
    24,297.76x = 33,528.90 × 13,690
  4. Step 4: Simplify right side
    24,297.76x = 459,010,641
  5. Step 5: Solve for x
    x = 459,010,641/24,297.76
  6. Step 6: Final answer
    x = 18,891.07

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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.