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Finding the Fourth Proportional to 15,778.82, 23,636 and 9,836.24

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Solution

The fourth proportional to 15,778.82, 23,636 and 9,836.24 is: 14,734.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778.82 : 23,636 = 9,836.24 : x
  2. Step 2: Convert to fraction form
    15,778.82/23,636 = 9,836.24/x
  3. Step 3: Cross multiply
    15,778.82x = 23,636 × 9,836.24
  4. Step 4: Simplify right side
    15,778.82x = 232,489,368.64
  5. Step 5: Solve for x
    x = 232,489,368.64/15,778.82
  6. Step 6: Final answer
    x = 14,734.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.