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Finding the Fourth Proportional to 21,860.16, 32,790.24 and 10,167

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Solution

The fourth proportional to 21,860.16, 32,790.24 and 10,167 is: 15,250.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,860.16 : 32,790.24 = 10,167 : x
  2. Step 2: Convert to fraction form
    21,860.16/32,790.24 = 10,167/x
  3. Step 3: Cross multiply
    21,860.16x = 32,790.24 × 10,167
  4. Step 4: Simplify right side
    21,860.16x = 333,378,370.08
  5. Step 5: Solve for x
    x = 333,378,370.08/21,860.16
  6. Step 6: Final answer
    x = 15,250.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.