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Finding the Fourth Proportional to 13,872.76, 19,143.40 and 8,567.67

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Solution

The fourth proportional to 13,872.76, 19,143.40 and 8,567.67 is: 11,822.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.76 : 19,143.40 = 8,567.67 : x
  2. Step 2: Convert to fraction form
    13,872.76/19,143.40 = 8,567.67/x
  3. Step 3: Cross multiply
    13,872.76x = 19,143.40 × 8,567.67
  4. Step 4: Simplify right side
    13,872.76x = 164,014,333.88
  5. Step 5: Solve for x
    x = 164,014,333.88/13,872.76
  6. Step 6: Final answer
    x = 11,822.76

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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.