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Finding the Fourth Proportional to 21,208.80, 31,813.56 and 6,417.90

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Solution

The fourth proportional to 21,208.80, 31,813.56 and 6,417.90 is: 9,626.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,208.80 : 31,813.56 = 6,417.90 : x
  2. Step 2: Convert to fraction form
    21,208.80/31,813.56 = 6,417.90/x
  3. Step 3: Cross multiply
    21,208.80x = 31,813.56 × 6,417.90
  4. Step 4: Simplify right side
    21,208.80x = 204,176,246.72
  5. Step 5: Solve for x
    x = 204,176,246.72/21,208.80
  6. Step 6: Final answer
    x = 9,626.96

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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.