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Finding the Fourth Proportional to 15,932.52, 21,982.86 and 9,643.68

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Solution

The fourth proportional to 15,932.52, 21,982.86 and 9,643.68 is: 13,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,932.52 : 21,982.86 = 9,643.68 : x
  2. Step 2: Convert to fraction form
    15,932.52/21,982.86 = 9,643.68/x
  3. Step 3: Cross multiply
    15,932.52x = 21,982.86 × 9,643.68
  4. Step 4: Simplify right side
    15,932.52x = 211,995,667.32
  5. Step 5: Solve for x
    x = 211,995,667.32/15,932.52
  6. Step 6: Final answer
    x = 13,305.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.