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Finding the Fourth Proportional to 21,127.86, 31,696.59 and 8,646.24

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Solution

The fourth proportional to 21,127.86, 31,696.59 and 8,646.24 is: 12,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,127.86 : 31,696.59 = 8,646.24 : x
  2. Step 2: Convert to fraction form
    21,127.86/31,696.59 = 8,646.24/x
  3. Step 3: Cross multiply
    21,127.86x = 31,696.59 × 8,646.24
  4. Step 4: Simplify right side
    21,127.86x = 274,056,324.32
  5. Step 5: Solve for x
    x = 274,056,324.32/21,127.86
  6. Step 6: Final answer
    x = 12,971.32

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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.