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Finding the Fourth Proportional to 24,394.84, 33,664.80 and 13,216.84

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Solution

The fourth proportional to 24,394.84, 33,664.80 and 13,216.84 is: 18,239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,394.84 : 33,664.80 = 13,216.84 : x
  2. Step 2: Convert to fraction form
    24,394.84/33,664.80 = 13,216.84/x
  3. Step 3: Cross multiply
    24,394.84x = 33,664.80 × 13,216.84
  4. Step 4: Simplify right side
    24,394.84x = 444,942,275.23
  5. Step 5: Solve for x
    x = 444,942,275.23/24,394.84
  6. Step 6: Final answer
    x = 18,239.20

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1.5x scale

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.