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Finding the Fourth Proportional to 22,776.33, 34,164.49 and 6,981.40

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Solution

The fourth proportional to 22,776.33, 34,164.49 and 6,981.40 is: 10,472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,776.33 : 34,164.49 = 6,981.40 : x
  2. Step 2: Convert to fraction form
    22,776.33/34,164.49 = 6,981.40/x
  3. Step 3: Cross multiply
    22,776.33x = 34,164.49 × 6,981.40
  4. Step 4: Simplify right side
    22,776.33x = 238,515,970.49
  5. Step 5: Solve for x
    x = 238,515,970.49/22,776.33
  6. Step 6: Final answer
    x = 10,472.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.