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Finding the Fourth Proportional to 22,815.94, 34,224 and 7,020.87

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Solution

The fourth proportional to 22,815.94, 34,224 and 7,020.87 is: 10,531.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,815.94 : 34,224 = 7,020.87 : x
  2. Step 2: Convert to fraction form
    22,815.94/34,224 = 7,020.87/x
  3. Step 3: Cross multiply
    22,815.94x = 34,224 × 7,020.87
  4. Step 4: Simplify right side
    22,815.94x = 240,282,254.88
  5. Step 5: Solve for x
    x = 240,282,254.88/22,815.94
  6. Step 6: Final answer
    x = 10,531.33

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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.