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Finding the Fourth Proportional to 12,406.58, 18,609.51 and 3,641.66

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Solution

The fourth proportional to 12,406.58, 18,609.51 and 3,641.66 is: 5,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.58 : 18,609.51 = 3,641.66 : x
  2. Step 2: Convert to fraction form
    12,406.58/18,609.51 = 3,641.66/x
  3. Step 3: Cross multiply
    12,406.58x = 18,609.51 × 3,641.66
  4. Step 4: Simplify right side
    12,406.58x = 67,769,508.19
  5. Step 5: Solve for x
    x = 67,769,508.19/12,406.58
  6. Step 6: Final answer
    x = 5,462.38

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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.