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Finding the Fourth Proportional to 14,462.56, 19,951.14 and 9,738.64

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Solution

The fourth proportional to 14,462.56, 19,951.14 and 9,738.64 is: 13,434.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,462.56 : 19,951.14 = 9,738.64 : x
  2. Step 2: Convert to fraction form
    14,462.56/19,951.14 = 9,738.64/x
  3. Step 3: Cross multiply
    14,462.56x = 19,951.14 × 9,738.64
  4. Step 4: Simplify right side
    14,462.56x = 194,296,970.05
  5. Step 5: Solve for x
    x = 194,296,970.05/14,462.56
  6. Step 6: Final answer
    x = 13,434.48

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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.