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Finding the Fourth Proportional to 14,314.14, 19,760.22 and 9,601.56

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Solution

The fourth proportional to 14,314.14, 19,760.22 and 9,601.56 is: 13,254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.14 : 19,760.22 = 9,601.56 : x
  2. Step 2: Convert to fraction form
    14,314.14/19,760.22 = 9,601.56/x
  3. Step 3: Cross multiply
    14,314.14x = 19,760.22 × 9,601.56
  4. Step 4: Simplify right side
    14,314.14x = 189,728,937.94
  5. Step 5: Solve for x
    x = 189,728,937.94/14,314.14
  6. Step 6: Final answer
    x = 13,254.65

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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.