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Finding the Fourth Proportional to 12,407.85, 18,611.63 and 3,642.45

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Solution

The fourth proportional to 12,407.85, 18,611.63 and 3,642.45 is: 5,463.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.85 : 18,611.63 = 3,642.45 : x
  2. Step 2: Convert to fraction form
    12,407.85/18,611.63 = 3,642.45/x
  3. Step 3: Cross multiply
    12,407.85x = 18,611.63 × 3,642.45
  4. Step 4: Simplify right side
    12,407.85x = 67,791,913.48
  5. Step 5: Solve for x
    x = 67,791,913.48/12,407.85
  6. Step 6: Final answer
    x = 5,463.63

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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.