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Finding the Fourth Proportional to 12,814.14, 17,682.96 and 9,455.74

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Solution

The fourth proportional to 12,814.14, 17,682.96 and 9,455.74 is: 13,048.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.14 : 17,682.96 = 9,455.74 : x
  2. Step 2: Convert to fraction form
    12,814.14/17,682.96 = 9,455.74/x
  3. Step 3: Cross multiply
    12,814.14x = 17,682.96 × 9,455.74
  4. Step 4: Simplify right side
    12,814.14x = 167,205,472.19
  5. Step 5: Solve for x
    x = 167,205,472.19/12,814.14
  6. Step 6: Final answer
    x = 13,048.51

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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.