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Finding the Fourth Proportional to 22,438.15, 33,650.74 and 7,646.74

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Solution

The fourth proportional to 22,438.15, 33,650.74 and 7,646.74 is: 11,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,438.15 : 33,650.74 = 7,646.74 : x
  2. Step 2: Convert to fraction form
    22,438.15/33,650.74 = 7,646.74/x
  3. Step 3: Cross multiply
    22,438.15x = 33,650.74 × 7,646.74
  4. Step 4: Simplify right side
    22,438.15x = 257,318,459.59
  5. Step 5: Solve for x
    x = 257,318,459.59/22,438.15
  6. Step 6: Final answer
    x = 11,467.90

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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.