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Finding the Fourth Proportional to 22,142.56, 30,557.28 and 12,582.22

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Solution

The fourth proportional to 22,142.56, 30,557.28 and 12,582.22 is: 17,363.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,142.56 : 30,557.28 = 12,582.22 : x
  2. Step 2: Convert to fraction form
    22,142.56/30,557.28 = 12,582.22/x
  3. Step 3: Cross multiply
    22,142.56x = 30,557.28 × 12,582.22
  4. Step 4: Simplify right side
    22,142.56x = 384,478,419.56
  5. Step 5: Solve for x
    x = 384,478,419.56/22,142.56
  6. Step 6: Final answer
    x = 17,363.77

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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.