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Finding the Fourth Proportional to 22,016.40, 33,024.60 and 9,728.40

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Solution

The fourth proportional to 22,016.40, 33,024.60 and 9,728.40 is: 14,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,016.40 : 33,024.60 = 9,728.40 : x
  2. Step 2: Convert to fraction form
    22,016.40/33,024.60 = 9,728.40/x
  3. Step 3: Cross multiply
    22,016.40x = 33,024.60 × 9,728.40
  4. Step 4: Simplify right side
    22,016.40x = 321,276,518.64
  5. Step 5: Solve for x
    x = 321,276,518.64/22,016.40
  6. Step 6: Final answer
    x = 14,592.60

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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.