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Finding the Fourth Proportional to 16,237.44, 22,412 and 9,168

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Solution

The fourth proportional to 16,237.44, 22,412 and 9,168 is: 12,654.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,237.44 : 22,412 = 9,168 : x
  2. Step 2: Convert to fraction form
    16,237.44/22,412 = 9,168/x
  3. Step 3: Cross multiply
    16,237.44x = 22,412 × 9,168
  4. Step 4: Simplify right side
    16,237.44x = 205,473,216
  5. Step 5: Solve for x
    x = 205,473,216/16,237.44
  6. Step 6: Final answer
    x = 12,654.29

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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.