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Finding the Fourth Proportional to 21,297.69, 31,949.62 and 6,504.71

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Solution

The fourth proportional to 21,297.69, 31,949.62 and 6,504.71 is: 9,758.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,297.69 : 31,949.62 = 6,504.71 : x
  2. Step 2: Convert to fraction form
    21,297.69/31,949.62 = 6,504.71/x
  3. Step 3: Cross multiply
    21,297.69x = 31,949.62 × 6,504.71
  4. Step 4: Simplify right side
    21,297.69x = 207,822,836.70
  5. Step 5: Solve for x
    x = 207,822,836.70/21,297.69
  6. Step 6: Final answer
    x = 9,758.00

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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.