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Finding the Fourth Proportional to 14,642.14, 20,201.10 and 8,267.93

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Solution

The fourth proportional to 14,642.14, 20,201.10 and 8,267.93 is: 11,406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.14 : 20,201.10 = 8,267.93 : x
  2. Step 2: Convert to fraction form
    14,642.14/20,201.10 = 8,267.93/x
  3. Step 3: Cross multiply
    14,642.14x = 20,201.10 × 8,267.93
  4. Step 4: Simplify right side
    14,642.14x = 167,021,280.72
  5. Step 5: Solve for x
    x = 167,021,280.72/14,642.14
  6. Step 6: Final answer
    x = 11,406.89

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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.