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Finding the Fourth Proportional to 24,647.07, 34,019 and 14,042.95

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Solution

The fourth proportional to 24,647.07, 34,019 and 14,042.95 is: 19,382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,647.07 : 34,019 = 14,042.95 : x
  2. Step 2: Convert to fraction form
    24,647.07/34,019 = 14,042.95/x
  3. Step 3: Cross multiply
    24,647.07x = 34,019 × 14,042.95
  4. Step 4: Simplify right side
    24,647.07x = 477,727,116.05
  5. Step 5: Solve for x
    x = 477,727,116.05/24,647.07
  6. Step 6: Final answer
    x = 19,382.71

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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.