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Finding the Fourth Proportional to 21,277.66, 31,918.67 and 8,141.08

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Solution

The fourth proportional to 21,277.66, 31,918.67 and 8,141.08 is: 12,212.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,277.66 : 31,918.67 = 8,141.08 : x
  2. Step 2: Convert to fraction form
    21,277.66/31,918.67 = 8,141.08/x
  3. Step 3: Cross multiply
    21,277.66x = 31,918.67 × 8,141.08
  4. Step 4: Simplify right side
    21,277.66x = 259,852,445.96
  5. Step 5: Solve for x
    x = 259,852,445.96/21,277.66
  6. Step 6: Final answer
    x = 12,212.45

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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.