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Finding the Fourth Proportional to 12,145.92, 18,193.32 and 5,577.60

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Solution

The fourth proportional to 12,145.92, 18,193.32 and 5,577.60 is: 8,354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.92 : 18,193.32 = 5,577.60 : x
  2. Step 2: Convert to fraction form
    12,145.92/18,193.32 = 5,577.60/x
  3. Step 3: Cross multiply
    12,145.92x = 18,193.32 × 5,577.60
  4. Step 4: Simplify right side
    12,145.92x = 101,475,061.63
  5. Step 5: Solve for x
    x = 101,475,061.63/12,145.92
  6. Step 6: Final answer
    x = 8,354.66

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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.