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Finding the Fourth Proportional to 16,369.21, 22,588.91 and 10,006.46

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Solution

The fourth proportional to 16,369.21, 22,588.91 and 10,006.46 is: 13,808.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,369.21 : 22,588.91 = 10,006.46 : x
  2. Step 2: Convert to fraction form
    16,369.21/22,588.91 = 10,006.46/x
  3. Step 3: Cross multiply
    16,369.21x = 22,588.91 × 10,006.46
  4. Step 4: Simplify right side
    16,369.21x = 226,035,021.14
  5. Step 5: Solve for x
    x = 226,035,021.14/16,369.21
  6. Step 6: Final answer
    x = 13,808.55

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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.