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Finding the Fourth Proportional to 22,706.20, 34,069.56 and 10,219.30

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Solution

The fourth proportional to 22,706.20, 34,069.56 and 10,219.30 is: 15,333.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,706.20 : 34,069.56 = 10,219.30 : x
  2. Step 2: Convert to fraction form
    22,706.20/34,069.56 = 10,219.30/x
  3. Step 3: Cross multiply
    22,706.20x = 34,069.56 × 10,219.30
  4. Step 4: Simplify right side
    22,706.20x = 348,167,054.51
  5. Step 5: Solve for x
    x = 348,167,054.51/22,706.20
  6. Step 6: Final answer
    x = 15,333.57

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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.