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Finding the Fourth Proportional to 21,269.54, 31,908.94 and 6,478.08

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Solution

The fourth proportional to 21,269.54, 31,908.94 and 6,478.08 is: 9,718.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,269.54 : 31,908.94 = 6,478.08 : x
  2. Step 2: Convert to fraction form
    21,269.54/31,908.94 = 6,478.08/x
  3. Step 3: Cross multiply
    21,269.54x = 31,908.94 × 6,478.08
  4. Step 4: Simplify right side
    21,269.54x = 206,708,666.04
  5. Step 5: Solve for x
    x = 206,708,666.04/21,269.54
  6. Step 6: Final answer
    x = 9,718.53

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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.