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Finding the Fourth Proportional to 12,872.60, 17,764.32 and 7,567.50

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Solution

The fourth proportional to 12,872.60, 17,764.32 and 7,567.50 is: 10,443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.60 : 17,764.32 = 7,567.50 : x
  2. Step 2: Convert to fraction form
    12,872.60/17,764.32 = 7,567.50/x
  3. Step 3: Cross multiply
    12,872.60x = 17,764.32 × 7,567.50
  4. Step 4: Simplify right side
    12,872.60x = 134,431,491.60
  5. Step 5: Solve for x
    x = 134,431,491.60/12,872.60
  6. Step 6: Final answer
    x = 10,443.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.