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Finding the Fourth Proportional to 22,178.24, 33,239.50 and 11,088

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Solution

The fourth proportional to 22,178.24, 33,239.50 and 11,088 is: 16,618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,178.24 : 33,239.50 = 11,088 : x
  2. Step 2: Convert to fraction form
    22,178.24/33,239.50 = 11,088/x
  3. Step 3: Cross multiply
    22,178.24x = 33,239.50 × 11,088
  4. Step 4: Simplify right side
    22,178.24x = 368,559,576
  5. Step 5: Solve for x
    x = 368,559,576/22,178.24
  6. Step 6: Final answer
    x = 16,618.07

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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.