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Finding the Fourth Proportional to 16,404, 22,637.64 and 8,952

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Solution

The fourth proportional to 16,404, 22,637.64 and 8,952 is: 12,353.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,404 : 22,637.64 = 8,952 : x
  2. Step 2: Convert to fraction form
    16,404/22,637.64 = 8,952/x
  3. Step 3: Cross multiply
    16,404x = 22,637.64 × 8,952
  4. Step 4: Simplify right side
    16,404x = 202,652,153.28
  5. Step 5: Solve for x
    x = 202,652,153.28/16,404
  6. Step 6: Final answer
    x = 12,353.83

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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.