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Finding the Fourth Proportional to 15,705.91, 21,665.50 and 9,952.84

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Solution

The fourth proportional to 15,705.91, 21,665.50 and 9,952.84 is: 13,729.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.91 : 21,665.50 = 9,952.84 : x
  2. Step 2: Convert to fraction form
    15,705.91/21,665.50 = 9,952.84/x
  3. Step 3: Cross multiply
    15,705.91x = 21,665.50 × 9,952.84
  4. Step 4: Simplify right side
    15,705.91x = 215,633,255.02
  5. Step 5: Solve for x
    x = 215,633,255.02/15,705.91
  6. Step 6: Final answer
    x = 13,729.43

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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.