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Finding the Fourth Proportional to 22,252.39, 33,384.05 and 6,670

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Solution

The fourth proportional to 22,252.39, 33,384.05 and 6,670 is: 10,006.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,252.39 : 33,384.05 = 6,670 : x
  2. Step 2: Convert to fraction form
    22,252.39/33,384.05 = 6,670/x
  3. Step 3: Cross multiply
    22,252.39x = 33,384.05 × 6,670
  4. Step 4: Simplify right side
    22,252.39x = 222,671,580.15
  5. Step 5: Solve for x
    x = 222,671,580.15/22,252.39
  6. Step 6: Final answer
    x = 10,006.64

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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.