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Finding the Fourth Proportional to 14,872.86, 20,524.19 and 9,567.66

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Solution

The fourth proportional to 14,872.86, 20,524.19 and 9,567.66 is: 13,203.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,872.86 : 20,524.19 = 9,567.66 : x
  2. Step 2: Convert to fraction form
    14,872.86/20,524.19 = 9,567.66/x
  3. Step 3: Cross multiply
    14,872.86x = 20,524.19 × 9,567.66
  4. Step 4: Simplify right side
    14,872.86x = 196,368,500.82
  5. Step 5: Solve for x
    x = 196,368,500.82/14,872.86
  6. Step 6: Final answer
    x = 13,203.14

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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.