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Finding the Fourth Proportional to 21,805.74, 32,718.33 and 7,951.50

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Solution

The fourth proportional to 21,805.74, 32,718.33 and 7,951.50 is: 11,930.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,805.74 : 32,718.33 = 7,951.50 : x
  2. Step 2: Convert to fraction form
    21,805.74/32,718.33 = 7,951.50/x
  3. Step 3: Cross multiply
    21,805.74x = 32,718.33 × 7,951.50
  4. Step 4: Simplify right side
    21,805.74x = 260,159,801.00
  5. Step 5: Solve for x
    x = 260,159,801.00/21,805.74
  6. Step 6: Final answer
    x = 11,930.79

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