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Finding the Fourth Proportional to 21,180.80, 31,760.94 and 6,386.96

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Solution

The fourth proportional to 21,180.80, 31,760.94 and 6,386.96 is: 9,577.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,180.80 : 31,760.94 = 6,386.96 : x
  2. Step 2: Convert to fraction form
    21,180.80/31,760.94 = 6,386.96/x
  3. Step 3: Cross multiply
    21,180.80x = 31,760.94 × 6,386.96
  4. Step 4: Simplify right side
    21,180.80x = 202,855,853.34
  5. Step 5: Solve for x
    x = 202,855,853.34/21,180.80
  6. Step 6: Final answer
    x = 9,577.35

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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.