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Finding the Fourth Proportional to 21,202.83, 31,808.75 and 8,054.91

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Solution

The fourth proportional to 21,202.83, 31,808.75 and 8,054.91 is: 12,084.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,202.83 : 31,808.75 = 8,054.91 : x
  2. Step 2: Convert to fraction form
    21,202.83/31,808.75 = 8,054.91/x
  3. Step 3: Cross multiply
    21,202.83x = 31,808.75 × 8,054.91
  4. Step 4: Simplify right side
    21,202.83x = 256,216,578.19
  5. Step 5: Solve for x
    x = 256,216,578.19/21,202.83
  6. Step 6: Final answer
    x = 12,084.07

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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.