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Finding the Fourth Proportional to 16,610, 22,921.82 and 9,158

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Solution

The fourth proportional to 16,610, 22,921.82 and 9,158 is: 12,638.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,610 : 22,921.82 = 9,158 : x
  2. Step 2: Convert to fraction form
    16,610/22,921.82 = 9,158/x
  3. Step 3: Cross multiply
    16,610x = 22,921.82 × 9,158
  4. Step 4: Simplify right side
    16,610x = 209,918,027.56
  5. Step 5: Solve for x
    x = 209,918,027.56/16,610
  6. Step 6: Final answer
    x = 12,638.05

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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.