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Finding the Fourth Proportional to 12,847.96, 19,226.35 and 7,567.57

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Solution

The fourth proportional to 12,847.96, 19,226.35 and 7,567.57 is: 11,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.96 : 19,226.35 = 7,567.57 : x
  2. Step 2: Convert to fraction form
    12,847.96/19,226.35 = 7,567.57/x
  3. Step 3: Cross multiply
    12,847.96x = 19,226.35 × 7,567.57
  4. Step 4: Simplify right side
    12,847.96x = 145,496,749.47
  5. Step 5: Solve for x
    x = 145,496,749.47/12,847.96
  6. Step 6: Final answer
    x = 11,324.50

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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.