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Finding the Fourth Proportional to 22,004.64, 33,006.96 and 9,701.28

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Solution

The fourth proportional to 22,004.64, 33,006.96 and 9,701.28 is: 14,551.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,004.64 : 33,006.96 = 9,701.28 : x
  2. Step 2: Convert to fraction form
    22,004.64/33,006.96 = 9,701.28/x
  3. Step 3: Cross multiply
    22,004.64x = 33,006.96 × 9,701.28
  4. Step 4: Simplify right side
    22,004.64x = 320,209,760.91
  5. Step 5: Solve for x
    x = 320,209,760.91/22,004.64
  6. Step 6: Final answer
    x = 14,551.92

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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.