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Finding the Fourth Proportional to 12,210.66, 16,832.34 and 9,553.46

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Solution

The fourth proportional to 12,210.66, 16,832.34 and 9,553.46 is: 13,169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,210.66 : 16,832.34 = 9,553.46 : x
  2. Step 2: Convert to fraction form
    12,210.66/16,832.34 = 9,553.46/x
  3. Step 3: Cross multiply
    12,210.66x = 16,832.34 × 9,553.46
  4. Step 4: Simplify right side
    12,210.66x = 160,807,002.73
  5. Step 5: Solve for x
    x = 160,807,002.73/12,210.66
  6. Step 6: Final answer
    x = 13,169.39

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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.