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Finding the Fourth Proportional to 22,252.24, 30,705.48 and 12,821.20

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Solution

The fourth proportional to 22,252.24, 30,705.48 and 12,821.20 is: 17,691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,252.24 : 30,705.48 = 12,821.20 : x
  2. Step 2: Convert to fraction form
    22,252.24/30,705.48 = 12,821.20/x
  3. Step 3: Cross multiply
    22,252.24x = 30,705.48 × 12,821.20
  4. Step 4: Simplify right side
    22,252.24x = 393,681,100.18
  5. Step 5: Solve for x
    x = 393,681,100.18/22,252.24
  6. Step 6: Final answer
    x = 17,691.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.