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Finding the Fourth Proportional to 22,005.64, 33,008.46 and 9,702.28

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Solution

The fourth proportional to 22,005.64, 33,008.46 and 9,702.28 is: 14,553.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,005.64 : 33,008.46 = 9,702.28 : x
  2. Step 2: Convert to fraction form
    22,005.64/33,008.46 = 9,702.28/x
  3. Step 3: Cross multiply
    22,005.64x = 33,008.46 × 9,702.28
  4. Step 4: Simplify right side
    22,005.64x = 320,257,321.29
  5. Step 5: Solve for x
    x = 320,257,321.29/22,005.64
  6. Step 6: Final answer
    x = 14,553.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.