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Finding the Fourth Proportional to 16,226, 22,392.66 and 9,152.26

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Solution

The fourth proportional to 16,226, 22,392.66 and 9,152.26 is: 12,630.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,226 : 22,392.66 = 9,152.26 : x
  2. Step 2: Convert to fraction form
    16,226/22,392.66 = 9,152.26/x
  3. Step 3: Cross multiply
    16,226x = 22,392.66 × 9,152.26
  4. Step 4: Simplify right side
    16,226x = 204,943,446.41
  5. Step 5: Solve for x
    x = 204,943,446.41/16,226
  6. Step 6: Final answer
    x = 12,630.56

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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.