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Finding the Fourth Proportional to 22,813.52, 34,238.40 and 10,334.46

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Solution

The fourth proportional to 22,813.52, 34,238.40 and 10,334.46 is: 15,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,813.52 : 34,238.40 = 10,334.46 : x
  2. Step 2: Convert to fraction form
    22,813.52/34,238.40 = 10,334.46/x
  3. Step 3: Cross multiply
    22,813.52x = 34,238.40 × 10,334.46
  4. Step 4: Simplify right side
    22,813.52x = 353,835,375.26
  5. Step 5: Solve for x
    x = 353,835,375.26/22,813.52
  6. Step 6: Final answer
    x = 15,509.90

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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.