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Finding the Fourth Proportional to 21,288.57, 31,932.86 and 6,497.56

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Solution

The fourth proportional to 21,288.57, 31,932.86 and 6,497.56 is: 9,746.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,288.57 : 31,932.86 = 6,497.56 : x
  2. Step 2: Convert to fraction form
    21,288.57/31,932.86 = 6,497.56/x
  3. Step 3: Cross multiply
    21,288.57x = 31,932.86 × 6,497.56
  4. Step 4: Simplify right side
    21,288.57x = 207,485,673.82
  5. Step 5: Solve for x
    x = 207,485,673.82/21,288.57
  6. Step 6: Final answer
    x = 9,746.34

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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.