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Finding the Fourth Proportional to 22,013.44, 30,378.54 and 12,582.20

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Solution

The fourth proportional to 22,013.44, 30,378.54 and 12,582.20 is: 17,363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,013.44 : 30,378.54 = 12,582.20 : x
  2. Step 2: Convert to fraction form
    22,013.44/30,378.54 = 12,582.20/x
  3. Step 3: Cross multiply
    22,013.44x = 30,378.54 × 12,582.20
  4. Step 4: Simplify right side
    22,013.44x = 382,228,989.12
  5. Step 5: Solve for x
    x = 382,228,989.12/22,013.44
  6. Step 6: Final answer
    x = 17,363.44

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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.