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Finding the Fourth Proportional to 12,767.50, 19,169.18 and 6,531.98

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Solution

The fourth proportional to 12,767.50, 19,169.18 and 6,531.98 is: 9,807.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.50 : 19,169.18 = 6,531.98 : x
  2. Step 2: Convert to fraction form
    12,767.50/19,169.18 = 6,531.98/x
  3. Step 3: Cross multiply
    12,767.50x = 19,169.18 × 6,531.98
  4. Step 4: Simplify right side
    12,767.50x = 125,212,740.93
  5. Step 5: Solve for x
    x = 125,212,740.93/12,767.50
  6. Step 6: Final answer
    x = 9,807.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.