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Finding the Fourth Proportional to 24,804, 34,219.77 and 14,187.96

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Solution

The fourth proportional to 24,804, 34,219.77 and 14,187.96 is: 19,573.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,804 : 34,219.77 = 14,187.96 : x
  2. Step 2: Convert to fraction form
    24,804/34,219.77 = 14,187.96/x
  3. Step 3: Cross multiply
    24,804x = 34,219.77 × 14,187.96
  4. Step 4: Simplify right side
    24,804x = 485,508,727.97
  5. Step 5: Solve for x
    x = 485,508,727.97/24,804
  6. Step 6: Final answer
    x = 19,573.81

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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.