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Finding the Fourth Proportional to 24,213.69, 33,419.04 and 14,143.32

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Solution

The fourth proportional to 24,213.69, 33,419.04 and 14,143.32 is: 19,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,213.69 : 33,419.04 = 14,143.32 : x
  2. Step 2: Convert to fraction form
    24,213.69/33,419.04 = 14,143.32/x
  3. Step 3: Cross multiply
    24,213.69x = 33,419.04 × 14,143.32
  4. Step 4: Simplify right side
    24,213.69x = 472,656,176.81
  5. Step 5: Solve for x
    x = 472,656,176.81/24,213.69
  6. Step 6: Final answer
    x = 19,520.20

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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.