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Finding the Fourth Proportional to 21,153.34, 31,696.62 and 7,807.97

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Solution

The fourth proportional to 21,153.34, 31,696.62 and 7,807.97 is: 11,699.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,153.34 : 31,696.62 = 7,807.97 : x
  2. Step 2: Convert to fraction form
    21,153.34/31,696.62 = 7,807.97/x
  3. Step 3: Cross multiply
    21,153.34x = 31,696.62 × 7,807.97
  4. Step 4: Simplify right side
    21,153.34x = 247,486,218.88
  5. Step 5: Solve for x
    x = 247,486,218.88/21,153.34
  6. Step 6: Final answer
    x = 11,699.63

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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.