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Finding the Fourth Proportional to 24,533, 33,855.56 and 13,355

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Solution

The fourth proportional to 24,533, 33,855.56 and 13,355 is: 18,429.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,533 : 33,855.56 = 13,355 : x
  2. Step 2: Convert to fraction form
    24,533/33,855.56 = 13,355/x
  3. Step 3: Cross multiply
    24,533x = 33,855.56 × 13,355
  4. Step 4: Simplify right side
    24,533x = 452,141,003.80
  5. Step 5: Solve for x
    x = 452,141,003.80/24,533
  6. Step 6: Final answer
    x = 18,429.91

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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.