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Finding the Fourth Proportional to 22,018.32, 33,005.73 and 14,098.28

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Solution

The fourth proportional to 22,018.32, 33,005.73 and 14,098.28 is: 21,133.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,018.32 : 33,005.73 = 14,098.28 : x
  2. Step 2: Convert to fraction form
    22,018.32/33,005.73 = 14,098.28/x
  3. Step 3: Cross multiply
    22,018.32x = 33,005.73 × 14,098.28
  4. Step 4: Simplify right side
    22,018.32x = 465,323,858.12
  5. Step 5: Solve for x
    x = 465,323,858.12/22,018.32
  6. Step 6: Final answer
    x = 21,133.49

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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.