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Finding the Fourth Proportional to 16,507.33, 22,777.71 and 9,432.38

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Solution

The fourth proportional to 16,507.33, 22,777.71 and 9,432.38 is: 13,015.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.33 : 22,777.71 = 9,432.38 : x
  2. Step 2: Convert to fraction form
    16,507.33/22,777.71 = 9,432.38/x
  3. Step 3: Cross multiply
    16,507.33x = 22,777.71 × 9,432.38
  4. Step 4: Simplify right side
    16,507.33x = 214,848,037.82
  5. Step 5: Solve for x
    x = 214,848,037.82/16,507.33
  6. Step 6: Final answer
    x = 13,015.31

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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.