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Finding the Fourth Proportional to 12,407.69, 18,611.69 and 3,642.77

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Solution

The fourth proportional to 12,407.69, 18,611.69 and 3,642.77 is: 5,464.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.69 : 18,611.69 = 3,642.77 : x
  2. Step 2: Convert to fraction form
    12,407.69/18,611.69 = 3,642.77/x
  3. Step 3: Cross multiply
    12,407.69x = 18,611.69 × 3,642.77
  4. Step 4: Simplify right side
    12,407.69x = 67,797,994.71
  5. Step 5: Solve for x
    x = 67,797,994.71/12,407.69
  6. Step 6: Final answer
    x = 5,464.19

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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.