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Finding the Fourth Proportional to 22,102.61, 33,160.83 and 14,214.03

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Solution

The fourth proportional to 22,102.61, 33,160.83 and 14,214.03 is: 21,325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102.61 : 33,160.83 = 14,214.03 : x
  2. Step 2: Convert to fraction form
    22,102.61/33,160.83 = 14,214.03/x
  3. Step 3: Cross multiply
    22,102.61x = 33,160.83 × 14,214.03
  4. Step 4: Simplify right side
    22,102.61x = 471,349,192.33
  5. Step 5: Solve for x
    x = 471,349,192.33/22,102.61
  6. Step 6: Final answer
    x = 21,325.50

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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.