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Finding the Fourth Proportional to 12,685.86, 19,007.82 and 4,361.40

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Solution

The fourth proportional to 12,685.86, 19,007.82 and 4,361.40 is: 6,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,685.86 : 19,007.82 = 4,361.40 : x
  2. Step 2: Convert to fraction form
    12,685.86/19,007.82 = 4,361.40/x
  3. Step 3: Cross multiply
    12,685.86x = 19,007.82 × 4,361.40
  4. Step 4: Simplify right side
    12,685.86x = 82,900,706.15
  5. Step 5: Solve for x
    x = 82,900,706.15/12,685.86
  6. Step 6: Final answer
    x = 6,534.89

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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.