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Finding the Fourth Proportional to 21,190.88, 31,774 and 8,036.07

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Solution

The fourth proportional to 21,190.88, 31,774 and 8,036.07 is: 12,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,190.88 : 31,774 = 8,036.07 : x
  2. Step 2: Convert to fraction form
    21,190.88/31,774 = 8,036.07/x
  3. Step 3: Cross multiply
    21,190.88x = 31,774 × 8,036.07
  4. Step 4: Simplify right side
    21,190.88x = 255,338,088.18
  5. Step 5: Solve for x
    x = 255,338,088.18/21,190.88
  6. Step 6: Final answer
    x = 12,049.43

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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.