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Finding the Fourth Proportional to 21,262.50, 31,895.10 and 6,472.51

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Solution

The fourth proportional to 21,262.50, 31,895.10 and 6,472.51 is: 9,709.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,262.50 : 31,895.10 = 6,472.51 : x
  2. Step 2: Convert to fraction form
    21,262.50/31,895.10 = 6,472.51/x
  3. Step 3: Cross multiply
    21,262.50x = 31,895.10 × 6,472.51
  4. Step 4: Simplify right side
    21,262.50x = 206,441,273.96
  5. Step 5: Solve for x
    x = 206,441,273.96/21,262.50
  6. Step 6: Final answer
    x = 9,709.17

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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.