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Finding the Fourth Proportional to 23,285.76, 34,922.12 and 9,431.52

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Solution

The fourth proportional to 23,285.76, 34,922.12 and 9,431.52 is: 14,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,285.76 : 34,922.12 = 9,431.52 : x
  2. Step 2: Convert to fraction form
    23,285.76/34,922.12 = 9,431.52/x
  3. Step 3: Cross multiply
    23,285.76x = 34,922.12 × 9,431.52
  4. Step 4: Simplify right side
    23,285.76x = 329,368,673.22
  5. Step 5: Solve for x
    x = 329,368,673.22/23,285.76
  6. Step 6: Final answer
    x = 14,144.64

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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.