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Finding the Fourth Proportional to 21,305.67, 31,959.99 and 6,513.45

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Solution

The fourth proportional to 21,305.67, 31,959.99 and 6,513.45 is: 9,770.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,305.67 : 31,959.99 = 6,513.45 : x
  2. Step 2: Convert to fraction form
    21,305.67/31,959.99 = 6,513.45/x
  3. Step 3: Cross multiply
    21,305.67x = 31,959.99 × 6,513.45
  4. Step 4: Simplify right side
    21,305.67x = 208,169,796.87
  5. Step 5: Solve for x
    x = 208,169,796.87/21,305.67
  6. Step 6: Final answer
    x = 9,770.63

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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.