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Finding the Fourth Proportional to 24,510, 33,824.34 and 13,332

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Solution

The fourth proportional to 24,510, 33,824.34 and 13,332 is: 18,398.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,510 : 33,824.34 = 13,332 : x
  2. Step 2: Convert to fraction form
    24,510/33,824.34 = 13,332/x
  3. Step 3: Cross multiply
    24,510x = 33,824.34 × 13,332
  4. Step 4: Simplify right side
    24,510x = 450,946,100.88
  5. Step 5: Solve for x
    x = 450,946,100.88/24,510
  6. Step 6: Final answer
    x = 18,398.45

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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.