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Finding the Fourth Proportional to 21,252.40, 31,879.75 and 6,460.21

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Solution

The fourth proportional to 21,252.40, 31,879.75 and 6,460.21 is: 9,690.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,252.40 : 31,879.75 = 6,460.21 : x
  2. Step 2: Convert to fraction form
    21,252.40/31,879.75 = 6,460.21/x
  3. Step 3: Cross multiply
    21,252.40x = 31,879.75 × 6,460.21
  4. Step 4: Simplify right side
    21,252.40x = 205,949,879.75
  5. Step 5: Solve for x
    x = 205,949,879.75/21,252.40
  6. Step 6: Final answer
    x = 9,690.66

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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.