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Finding the Fourth Proportional to 12,265.83, 18,404.42 and 7,591.32

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Solution

The fourth proportional to 12,265.83, 18,404.42 and 7,591.32 is: 11,390.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,265.83 : 18,404.42 = 7,591.32 : x
  2. Step 2: Convert to fraction form
    12,265.83/18,404.42 = 7,591.32/x
  3. Step 3: Cross multiply
    12,265.83x = 18,404.42 × 7,591.32
  4. Step 4: Simplify right side
    12,265.83x = 139,713,803.68
  5. Step 5: Solve for x
    x = 139,713,803.68/12,265.83
  6. Step 6: Final answer
    x = 11,390.49

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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.