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Finding the Fourth Proportional to 24,386, 33,652.68 and 13,208

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Solution

The fourth proportional to 24,386, 33,652.68 and 13,208 is: 18,227.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,386 : 33,652.68 = 13,208 : x
  2. Step 2: Convert to fraction form
    24,386/33,652.68 = 13,208/x
  3. Step 3: Cross multiply
    24,386x = 33,652.68 × 13,208
  4. Step 4: Simplify right side
    24,386x = 444,484,597.44
  5. Step 5: Solve for x
    x = 444,484,597.44/24,386
  6. Step 6: Final answer
    x = 18,227.04

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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.