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Finding the Fourth Proportional to 22,103.50, 33,155.56 and 12,262

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Solution

The fourth proportional to 22,103.50, 33,155.56 and 12,262 is: 18,393.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,103.50 : 33,155.56 = 12,262 : x
  2. Step 2: Convert to fraction form
    22,103.50/33,155.56 = 12,262/x
  3. Step 3: Cross multiply
    22,103.50x = 33,155.56 × 12,262
  4. Step 4: Simplify right side
    22,103.50x = 406,553,415.41
  5. Step 5: Solve for x
    x = 406,553,415.41/22,103.50
  6. Step 6: Final answer
    x = 18,393.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.