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Finding the Fourth Proportional to 24,476, 33,776.96 and 13,298.08

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Solution

The fourth proportional to 24,476, 33,776.96 and 13,298.08 is: 18,351.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,476 : 33,776.96 = 13,298.08 : x
  2. Step 2: Convert to fraction form
    24,476/33,776.96 = 13,298.08/x
  3. Step 3: Cross multiply
    24,476x = 33,776.96 × 13,298.08
  4. Step 4: Simplify right side
    24,476x = 449,168,716.24
  5. Step 5: Solve for x
    x = 449,168,716.24/24,476
  6. Step 6: Final answer
    x = 18,351.39

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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.