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Finding the Fourth Proportional to 21,252.54, 31,879.95 and 6,460.32

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Solution

The fourth proportional to 21,252.54, 31,879.95 and 6,460.32 is: 9,690.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,252.54 : 31,879.95 = 6,460.32 : x
  2. Step 2: Convert to fraction form
    21,252.54/31,879.95 = 6,460.32/x
  3. Step 3: Cross multiply
    21,252.54x = 31,879.95 × 6,460.32
  4. Step 4: Simplify right side
    21,252.54x = 205,954,646.28
  5. Step 5: Solve for x
    x = 205,954,646.28/21,252.54
  6. Step 6: Final answer
    x = 9,690.83

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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.