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Finding the Fourth Proportional to 22,178, 33,289.59 and 11,092.70

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Solution

The fourth proportional to 22,178, 33,289.59 and 11,092.70 is: 16,650.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,178 : 33,289.59 = 11,092.70 : x
  2. Step 2: Convert to fraction form
    22,178/33,289.59 = 11,092.70/x
  3. Step 3: Cross multiply
    22,178x = 33,289.59 × 11,092.70
  4. Step 4: Simplify right side
    22,178x = 369,271,434.99
  5. Step 5: Solve for x
    x = 369,271,434.99/22,178
  6. Step 6: Final answer
    x = 16,650.35

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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.