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Finding the Fourth Proportional to 21,022.43, 31,532.49 and 7,873.83

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Solution

The fourth proportional to 21,022.43, 31,532.49 and 7,873.83 is: 11,810.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,022.43 : 31,532.49 = 7,873.83 : x
  2. Step 2: Convert to fraction form
    21,022.43/31,532.49 = 7,873.83/x
  3. Step 3: Cross multiply
    21,022.43x = 31,532.49 × 7,873.83
  4. Step 4: Simplify right side
    21,022.43x = 248,281,465.74
  5. Step 5: Solve for x
    x = 248,281,465.74/21,022.43
  6. Step 6: Final answer
    x = 11,810.32

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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.