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Finding the Fourth Proportional to 21,323.07, 31,987.95 and 7,283.82

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Solution

The fourth proportional to 21,323.07, 31,987.95 and 7,283.82 is: 10,926.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,323.07 : 31,987.95 = 7,283.82 : x
  2. Step 2: Convert to fraction form
    21,323.07/31,987.95 = 7,283.82/x
  3. Step 3: Cross multiply
    21,323.07x = 31,987.95 × 7,283.82
  4. Step 4: Simplify right side
    21,323.07x = 232,994,469.97
  5. Step 5: Solve for x
    x = 232,994,469.97/21,323.07
  6. Step 6: Final answer
    x = 10,926.87

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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.