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Finding the Fourth Proportional to 21,146.98, 31,687.09 and 7,801.61

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Solution

The fourth proportional to 21,146.98, 31,687.09 and 7,801.61 is: 11,690.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,146.98 : 31,687.09 = 7,801.61 : x
  2. Step 2: Convert to fraction form
    21,146.98/31,687.09 = 7,801.61/x
  3. Step 3: Cross multiply
    21,146.98x = 31,687.09 × 7,801.61
  4. Step 4: Simplify right side
    21,146.98x = 247,210,159.78
  5. Step 5: Solve for x
    x = 247,210,159.78/21,146.98
  6. Step 6: Final answer
    x = 11,690.10

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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.