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Finding the Fourth Proportional to 15,832.19, 21,827.88 and 9,853.18

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Solution

The fourth proportional to 15,832.19, 21,827.88 and 9,853.18 is: 13,584.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,832.19 : 21,827.88 = 9,853.18 : x
  2. Step 2: Convert to fraction form
    15,832.19/21,827.88 = 9,853.18/x
  3. Step 3: Cross multiply
    15,832.19x = 21,827.88 × 9,853.18
  4. Step 4: Simplify right side
    15,832.19x = 215,073,976.09
  5. Step 5: Solve for x
    x = 215,073,976.09/15,832.19
  6. Step 6: Final answer
    x = 13,584.60

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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.