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Finding the Fourth Proportional to 24,084.66, 33,235.84 and 14,013.38

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Solution

The fourth proportional to 24,084.66, 33,235.84 and 14,013.38 is: 19,337.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,084.66 : 33,235.84 = 14,013.38 : x
  2. Step 2: Convert to fraction form
    24,084.66/33,235.84 = 14,013.38/x
  3. Step 3: Cross multiply
    24,084.66x = 33,235.84 × 14,013.38
  4. Step 4: Simplify right side
    24,084.66x = 465,746,455.54
  5. Step 5: Solve for x
    x = 465,746,455.54/24,084.66
  6. Step 6: Final answer
    x = 19,337.89

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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.