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Finding the Fourth Proportional to 21,264.77, 31,901.77 and 6,473.31

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Solution

The fourth proportional to 21,264.77, 31,901.77 and 6,473.31 is: 9,711.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,264.77 : 31,901.77 = 6,473.31 : x
  2. Step 2: Convert to fraction form
    21,264.77/31,901.77 = 6,473.31/x
  3. Step 3: Cross multiply
    21,264.77x = 31,901.77 × 6,473.31
  4. Step 4: Simplify right side
    21,264.77x = 206,509,947.36
  5. Step 5: Solve for x
    x = 206,509,947.36/21,264.77
  6. Step 6: Final answer
    x = 9,711.36

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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.