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Finding the Fourth Proportional to 15,827.32, 21,843.84 and 9,114.04

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Solution

The fourth proportional to 15,827.32, 21,843.84 and 9,114.04 is: 12,578.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,827.32 : 21,843.84 = 9,114.04 : x
  2. Step 2: Convert to fraction form
    15,827.32/21,843.84 = 9,114.04/x
  3. Step 3: Cross multiply
    15,827.32x = 21,843.84 × 9,114.04
  4. Step 4: Simplify right side
    15,827.32x = 199,085,631.51
  5. Step 5: Solve for x
    x = 199,085,631.51/15,827.32
  6. Step 6: Final answer
    x = 12,578.61

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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.