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Finding the Fourth Proportional to 21,901.64, 32,857.32 and 6,319.26

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Solution

The fourth proportional to 21,901.64, 32,857.32 and 6,319.26 is: 9,480.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,901.64 : 32,857.32 = 6,319.26 : x
  2. Step 2: Convert to fraction form
    21,901.64/32,857.32 = 6,319.26/x
  3. Step 3: Cross multiply
    21,901.64x = 32,857.32 × 6,319.26
  4. Step 4: Simplify right side
    21,901.64x = 207,633,947.98
  5. Step 5: Solve for x
    x = 207,633,947.98/21,901.64
  6. Step 6: Final answer
    x = 9,480.29

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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.