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Finding the Fourth Proportional to 24,821, 34,252.98 and 13,643

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Solution

The fourth proportional to 24,821, 34,252.98 and 13,643 is: 18,827.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,821 : 34,252.98 = 13,643 : x
  2. Step 2: Convert to fraction form
    24,821/34,252.98 = 13,643/x
  3. Step 3: Cross multiply
    24,821x = 34,252.98 × 13,643
  4. Step 4: Simplify right side
    24,821x = 467,313,406.14
  5. Step 5: Solve for x
    x = 467,313,406.14/24,821
  6. Step 6: Final answer
    x = 18,827.34

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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.