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Finding the Fourth Proportional to 21,092.64, 31,641.75 and 7,763.82

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Solution

The fourth proportional to 21,092.64, 31,641.75 and 7,763.82 is: 11,646.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,092.64 : 31,641.75 = 7,763.82 : x
  2. Step 2: Convert to fraction form
    21,092.64/31,641.75 = 7,763.82/x
  3. Step 3: Cross multiply
    21,092.64x = 31,641.75 × 7,763.82
  4. Step 4: Simplify right side
    21,092.64x = 245,660,851.49
  5. Step 5: Solve for x
    x = 245,660,851.49/21,092.64
  6. Step 6: Final answer
    x = 11,646.76

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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.