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Finding the Fourth Proportional to 16,369.34, 22,589.09 and 10,006.58

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Solution

The fourth proportional to 16,369.34, 22,589.09 and 10,006.58 is: 13,808.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,369.34 : 22,589.09 = 10,006.58 : x
  2. Step 2: Convert to fraction form
    16,369.34/22,589.09 = 10,006.58/x
  3. Step 3: Cross multiply
    16,369.34x = 22,589.09 × 10,006.58
  4. Step 4: Simplify right side
    16,369.34x = 226,039,542.65
  5. Step 5: Solve for x
    x = 226,039,542.65/16,369.34
  6. Step 6: Final answer
    x = 13,808.72

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