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Finding the Fourth Proportional to 22,358.84, 33,541.48 and 6,777.68

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Solution

The fourth proportional to 22,358.84, 33,541.48 and 6,777.68 is: 10,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,358.84 : 33,541.48 = 6,777.68 : x
  2. Step 2: Convert to fraction form
    22,358.84/33,541.48 = 6,777.68/x
  3. Step 3: Cross multiply
    22,358.84x = 33,541.48 × 6,777.68
  4. Step 4: Simplify right side
    22,358.84x = 227,333,418.17
  5. Step 5: Solve for x
    x = 227,333,418.17/22,358.84
  6. Step 6: Final answer
    x = 10,167.50

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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.