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Finding the Fourth Proportional to 22,762.95, 34,146.45 and 8,722.41

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Solution

The fourth proportional to 22,762.95, 34,146.45 and 8,722.41 is: 13,084.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762.95 : 34,146.45 = 8,722.41 : x
  2. Step 2: Convert to fraction form
    22,762.95/34,146.45 = 8,722.41/x
  3. Step 3: Cross multiply
    22,762.95x = 34,146.45 × 8,722.41
  4. Step 4: Simplify right side
    22,762.95x = 297,839,336.94
  5. Step 5: Solve for x
    x = 297,839,336.94/22,762.95
  6. Step 6: Final answer
    x = 13,084.39

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Why These Related Problems?

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