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Finding the Fourth Proportional to 15,815.26, 21,824.94 and 8,742.16

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Solution

The fourth proportional to 15,815.26, 21,824.94 and 8,742.16 is: 12,064.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,815.26 : 21,824.94 = 8,742.16 : x
  2. Step 2: Convert to fraction form
    15,815.26/21,824.94 = 8,742.16/x
  3. Step 3: Cross multiply
    15,815.26x = 21,824.94 × 8,742.16
  4. Step 4: Simplify right side
    15,815.26x = 190,797,117.47
  5. Step 5: Solve for x
    x = 190,797,117.47/15,815.26
  6. Step 6: Final answer
    x = 12,064.12

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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.