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Finding the Fourth Proportional to 21,295.19, 31,940.51 and 6,514.41

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Solution

The fourth proportional to 21,295.19, 31,940.51 and 6,514.41 is: 9,770.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,295.19 : 31,940.51 = 6,514.41 : x
  2. Step 2: Convert to fraction form
    21,295.19/31,940.51 = 6,514.41/x
  3. Step 3: Cross multiply
    21,295.19x = 31,940.51 × 6,514.41
  4. Step 4: Simplify right side
    21,295.19x = 208,073,577.75
  5. Step 5: Solve for x
    x = 208,073,577.75/21,295.19
  6. Step 6: Final answer
    x = 9,770.92

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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.