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Finding the Fourth Proportional to 12,814.30, 17,657.49 and 9,451.79

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Solution

The fourth proportional to 12,814.30, 17,657.49 and 9,451.79 is: 13,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.30 : 17,657.49 = 9,451.79 : x
  2. Step 2: Convert to fraction form
    12,814.30/17,657.49 = 9,451.79/x
  3. Step 3: Cross multiply
    12,814.30x = 17,657.49 × 9,451.79
  4. Step 4: Simplify right side
    12,814.30x = 166,894,887.41
  5. Step 5: Solve for x
    x = 166,894,887.41/12,814.30
  6. Step 6: Final answer
    x = 13,024.11

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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.