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Finding the Fourth Proportional to 22,945.66, 34,411.61 and 8,152.63

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Solution

The fourth proportional to 22,945.66, 34,411.61 and 8,152.63 is: 12,226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,945.66 : 34,411.61 = 8,152.63 : x
  2. Step 2: Convert to fraction form
    22,945.66/34,411.61 = 8,152.63/x
  3. Step 3: Cross multiply
    22,945.66x = 34,411.61 × 8,152.63
  4. Step 4: Simplify right side
    22,945.66x = 280,545,083.27
  5. Step 5: Solve for x
    x = 280,545,083.27/22,945.66
  6. Step 6: Final answer
    x = 12,226.50

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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.