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Finding the Fourth Proportional to 14,121.78, 19,499.10 and 9,645.72

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Solution

The fourth proportional to 14,121.78, 19,499.10 and 9,645.72 is: 13,318.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,121.78 : 19,499.10 = 9,645.72 : x
  2. Step 2: Convert to fraction form
    14,121.78/19,499.10 = 9,645.72/x
  3. Step 3: Cross multiply
    14,121.78x = 19,499.10 × 9,645.72
  4. Step 4: Simplify right side
    14,121.78x = 188,082,858.85
  5. Step 5: Solve for x
    x = 188,082,858.85/14,121.78
  6. Step 6: Final answer
    x = 13,318.64

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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.