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Finding the Fourth Proportional to 21,098.97, 31,651.70 and 7,054.65

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Solution

The fourth proportional to 21,098.97, 31,651.70 and 7,054.65 is: 10,583.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,098.97 : 31,651.70 = 7,054.65 : x
  2. Step 2: Convert to fraction form
    21,098.97/31,651.70 = 7,054.65/x
  3. Step 3: Cross multiply
    21,098.97x = 31,651.70 × 7,054.65
  4. Step 4: Simplify right side
    21,098.97x = 223,291,630.13
  5. Step 5: Solve for x
    x = 223,291,630.13/21,098.97
  6. Step 6: Final answer
    x = 10,583.06

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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.