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Finding the Fourth Proportional to 21,095.92, 31,643.88 and 5,513.56

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Solution

The fourth proportional to 21,095.92, 31,643.88 and 5,513.56 is: 8,270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,095.92 : 31,643.88 = 5,513.56 : x
  2. Step 2: Convert to fraction form
    21,095.92/31,643.88 = 5,513.56/x
  3. Step 3: Cross multiply
    21,095.92x = 31,643.88 × 5,513.56
  4. Step 4: Simplify right side
    21,095.92x = 174,470,431.01
  5. Step 5: Solve for x
    x = 174,470,431.01/21,095.92
  6. Step 6: Final answer
    x = 8,270.34

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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.