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Finding the Fourth Proportional to 24,561, 33,894.27 and 13,383

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Solution

The fourth proportional to 24,561, 33,894.27 and 13,383 is: 18,468.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,561 : 33,894.27 = 13,383 : x
  2. Step 2: Convert to fraction form
    24,561/33,894.27 = 13,383/x
  3. Step 3: Cross multiply
    24,561x = 33,894.27 × 13,383
  4. Step 4: Simplify right side
    24,561x = 453,607,015.41
  5. Step 5: Solve for x
    x = 453,607,015.41/24,561
  6. Step 6: Final answer
    x = 18,468.59

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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.