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Finding the Fourth Proportional to 16,153, 22,291.14 and 9,529

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Solution

The fourth proportional to 16,153, 22,291.14 and 9,529 is: 13,150.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,153 : 22,291.14 = 9,529 : x
  2. Step 2: Convert to fraction form
    16,153/22,291.14 = 9,529/x
  3. Step 3: Cross multiply
    16,153x = 22,291.14 × 9,529
  4. Step 4: Simplify right side
    16,153x = 212,412,273.06
  5. Step 5: Solve for x
    x = 212,412,273.06/16,153
  6. Step 6: Final answer
    x = 13,150.02

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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.