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Finding the Fourth Proportional to 16,310.56, 22,507.82 and 9,236.82

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Solution

The fourth proportional to 16,310.56, 22,507.82 and 9,236.82 is: 12,746.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,310.56 : 22,507.82 = 9,236.82 : x
  2. Step 2: Convert to fraction form
    16,310.56/22,507.82 = 9,236.82/x
  3. Step 3: Cross multiply
    16,310.56x = 22,507.82 × 9,236.82
  4. Step 4: Simplify right side
    16,310.56x = 207,900,681.93
  5. Step 5: Solve for x
    x = 207,900,681.93/16,310.56
  6. Step 6: Final answer
    x = 12,746.39

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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.