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Finding the Fourth Proportional to 21,331.30, 31,950.78 and 15,475

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Solution

The fourth proportional to 21,331.30, 31,950.78 and 15,475 is: 23,179.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,331.30 : 31,950.78 = 15,475 : x
  2. Step 2: Convert to fraction form
    21,331.30/31,950.78 = 15,475/x
  3. Step 3: Cross multiply
    21,331.30x = 31,950.78 × 15,475
  4. Step 4: Simplify right side
    21,331.30x = 494,438,320.50
  5. Step 5: Solve for x
    x = 494,438,320.50/21,331.30
  6. Step 6: Final answer
    x = 23,179.01

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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.