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Finding the Fourth Proportional to 16,490.66, 22,758.23 and 9,318.09

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Solution

The fourth proportional to 16,490.66, 22,758.23 and 9,318.09 is: 12,859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,490.66 : 22,758.23 = 9,318.09 : x
  2. Step 2: Convert to fraction form
    16,490.66/22,758.23 = 9,318.09/x
  3. Step 3: Cross multiply
    16,490.66x = 22,758.23 × 9,318.09
  4. Step 4: Simplify right side
    16,490.66x = 212,063,235.38
  5. Step 5: Solve for x
    x = 212,063,235.38/16,490.66
  6. Step 6: Final answer
    x = 12,859.60

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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.