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Finding the Fourth Proportional to 15,827, 21,841.26 and 9,540.68

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Solution

The fourth proportional to 15,827, 21,841.26 and 9,540.68 is: 13,166.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,827 : 21,841.26 = 9,540.68 : x
  2. Step 2: Convert to fraction form
    15,827/21,841.26 = 9,540.68/x
  3. Step 3: Cross multiply
    15,827x = 21,841.26 × 9,540.68
  4. Step 4: Simplify right side
    15,827x = 208,380,472.46
  5. Step 5: Solve for x
    x = 208,380,472.46/15,827
  6. Step 6: Final answer
    x = 13,166.14

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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.