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Finding the Fourth Proportional to 24,465.10, 33,767.88 and 13,861

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Solution

The fourth proportional to 24,465.10, 33,767.88 and 13,861 is: 19,131.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,465.10 : 33,767.88 = 13,861 : x
  2. Step 2: Convert to fraction form
    24,465.10/33,767.88 = 13,861/x
  3. Step 3: Cross multiply
    24,465.10x = 33,767.88 × 13,861
  4. Step 4: Simplify right side
    24,465.10x = 468,056,584.68
  5. Step 5: Solve for x
    x = 468,056,584.68/24,465.10
  6. Step 6: Final answer
    x = 19,131.60

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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.