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Finding the Fourth Proportional to 22,297.93, 30,774.28 and 13,802.78

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Solution

The fourth proportional to 22,297.93, 30,774.28 and 13,802.78 is: 19,049.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,297.93 : 30,774.28 = 13,802.78 : x
  2. Step 2: Convert to fraction form
    22,297.93/30,774.28 = 13,802.78/x
  3. Step 3: Cross multiply
    22,297.93x = 30,774.28 × 13,802.78
  4. Step 4: Simplify right side
    22,297.93x = 424,770,616.50
  5. Step 5: Solve for x
    x = 424,770,616.50/22,297.93
  6. Step 6: Final answer
    x = 19,049.78

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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.