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Finding the Fourth Proportional to 15,772.36, 23,655.10 and 5,906.12

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Solution

The fourth proportional to 15,772.36, 23,655.10 and 5,906.12 is: 8,857.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.36 : 23,655.10 = 5,906.12 : x
  2. Step 2: Convert to fraction form
    15,772.36/23,655.10 = 5,906.12/x
  3. Step 3: Cross multiply
    15,772.36x = 23,655.10 × 5,906.12
  4. Step 4: Simplify right side
    15,772.36x = 139,709,859.21
  5. Step 5: Solve for x
    x = 139,709,859.21/15,772.36
  6. Step 6: Final answer
    x = 8,857.89

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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.