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Finding the Fourth Proportional to 22,230.64, 30,679.27 and 12,802.24

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Solution

The fourth proportional to 22,230.64, 30,679.27 and 12,802.24 is: 17,667.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,230.64 : 30,679.27 = 12,802.24 : x
  2. Step 2: Convert to fraction form
    22,230.64/30,679.27 = 12,802.24/x
  3. Step 3: Cross multiply
    22,230.64x = 30,679.27 × 12,802.24
  4. Step 4: Simplify right side
    22,230.64x = 392,763,477.44
  5. Step 5: Solve for x
    x = 392,763,477.44/22,230.64
  6. Step 6: Final answer
    x = 17,667.66

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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.