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Finding the Fourth Proportional to 34,472.25, 51,707.36 and 9,513.80

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Solution

The fourth proportional to 34,472.25, 51,707.36 and 9,513.80 is: 14,270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,472.25 : 51,707.36 = 9,513.80 : x
  2. Step 2: Convert to fraction form
    34,472.25/51,707.36 = 9,513.80/x
  3. Step 3: Cross multiply
    34,472.25x = 51,707.36 × 9,513.80
  4. Step 4: Simplify right side
    34,472.25x = 491,933,434.00
  5. Step 5: Solve for x
    x = 491,933,434.00/34,472.25
  6. Step 6: Final answer
    x = 14,270.42

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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.