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Finding the Fourth Proportional to 14,091.44, 19,437.64 and 9,311.42

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Solution

The fourth proportional to 14,091.44, 19,437.64 and 9,311.42 is: 12,844.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,091.44 : 19,437.64 = 9,311.42 : x
  2. Step 2: Convert to fraction form
    14,091.44/19,437.64 = 9,311.42/x
  3. Step 3: Cross multiply
    14,091.44x = 19,437.64 × 9,311.42
  4. Step 4: Simplify right side
    14,091.44x = 180,992,055.16
  5. Step 5: Solve for x
    x = 180,992,055.16/14,091.44
  6. Step 6: Final answer
    x = 12,844.12

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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.