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Finding the Fourth Proportional to 24,476.90, 33,783.55 and 13,872.38

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Solution

The fourth proportional to 24,476.90, 33,783.55 and 13,872.38 is: 19,146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,476.90 : 33,783.55 = 13,872.38 : x
  2. Step 2: Convert to fraction form
    24,476.90/33,783.55 = 13,872.38/x
  3. Step 3: Cross multiply
    24,476.90x = 33,783.55 × 13,872.38
  4. Step 4: Simplify right side
    24,476.90x = 468,658,039.75
  5. Step 5: Solve for x
    x = 468,658,039.75/24,476.90
  6. Step 6: Final answer
    x = 19,146.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.