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Finding the Fourth Proportional to 12,397.77, 18,596.81 and 3,632.87

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Solution

The fourth proportional to 12,397.77, 18,596.81 and 3,632.87 is: 5,449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.77 : 18,596.81 = 3,632.87 : x
  2. Step 2: Convert to fraction form
    12,397.77/18,596.81 = 3,632.87/x
  3. Step 3: Cross multiply
    12,397.77x = 18,596.81 × 3,632.87
  4. Step 4: Simplify right side
    12,397.77x = 67,559,700.16
  5. Step 5: Solve for x
    x = 67,559,700.16/12,397.77
  6. Step 6: Final answer
    x = 5,449.34

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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.