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Finding the Fourth Proportional to 34,285.14, 51,456.93 and 13,523.22

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Solution

The fourth proportional to 34,285.14, 51,456.93 and 13,523.22 is: 20,296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,285.14 : 51,456.93 = 13,523.22 : x
  2. Step 2: Convert to fraction form
    34,285.14/51,456.93 = 13,523.22/x
  3. Step 3: Cross multiply
    34,285.14x = 51,456.93 × 13,523.22
  4. Step 4: Simplify right side
    34,285.14x = 695,863,384.91
  5. Step 5: Solve for x
    x = 695,863,384.91/34,285.14
  6. Step 6: Final answer
    x = 20,296.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.