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Finding the Fourth Proportional to 12,598.28, 18,890.94 and 5,669

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Solution

The fourth proportional to 12,598.28, 18,890.94 and 5,669 is: 8,500.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,598.28 : 18,890.94 = 5,669 : x
  2. Step 2: Convert to fraction form
    12,598.28/18,890.94 = 5,669/x
  3. Step 3: Cross multiply
    12,598.28x = 18,890.94 × 5,669
  4. Step 4: Simplify right side
    12,598.28x = 107,092,738.86
  5. Step 5: Solve for x
    x = 107,092,738.86/12,598.28
  6. Step 6: Final answer
    x = 8,500.58

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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.