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Finding the Fourth Proportional to 16,226.49, 22,393.23 and 9,152.91

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Solution

The fourth proportional to 16,226.49, 22,393.23 and 9,152.91 is: 12,631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,226.49 : 22,393.23 = 9,152.91 : x
  2. Step 2: Convert to fraction form
    16,226.49/22,393.23 = 9,152.91/x
  3. Step 3: Cross multiply
    16,226.49x = 22,393.23 × 9,152.91
  4. Step 4: Simplify right side
    16,226.49x = 204,963,106.83
  5. Step 5: Solve for x
    x = 204,963,106.83/16,226.49
  6. Step 6: Final answer
    x = 12,631.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.