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Finding the Fourth Proportional to 12,567.69, 18,851.51 and 3,207.70

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Solution

The fourth proportional to 12,567.69, 18,851.51 and 3,207.70 is: 4,811.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567.69 : 18,851.51 = 3,207.70 : x
  2. Step 2: Convert to fraction form
    12,567.69/18,851.51 = 3,207.70/x
  3. Step 3: Cross multiply
    12,567.69x = 18,851.51 × 3,207.70
  4. Step 4: Simplify right side
    12,567.69x = 60,470,057.72
  5. Step 5: Solve for x
    x = 60,470,057.72/12,567.69
  6. Step 6: Final answer
    x = 4,811.55

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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.