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Finding the Fourth Proportional to 12,814.21, 17,684.13 and 7,148.98

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Solution

The fourth proportional to 12,814.21, 17,684.13 and 7,148.98 is: 9,865.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.21 : 17,684.13 = 7,148.98 : x
  2. Step 2: Convert to fraction form
    12,814.21/17,684.13 = 7,148.98/x
  3. Step 3: Cross multiply
    12,814.21x = 17,684.13 × 7,148.98
  4. Step 4: Simplify right side
    12,814.21x = 126,423,491.69
  5. Step 5: Solve for x
    x = 126,423,491.69/12,814.21
  6. Step 6: Final answer
    x = 9,865.88

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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.