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Finding the Fourth Proportional to 23,235.69, 34,833.95 and 10,078.16

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Solution

The fourth proportional to 23,235.69, 34,833.95 and 10,078.16 is: 15,108.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,235.69 : 34,833.95 = 10,078.16 : x
  2. Step 2: Convert to fraction form
    23,235.69/34,833.95 = 10,078.16/x
  3. Step 3: Cross multiply
    23,235.69x = 34,833.95 × 10,078.16
  4. Step 4: Simplify right side
    23,235.69x = 351,061,896.97
  5. Step 5: Solve for x
    x = 351,061,896.97/23,235.69
  6. Step 6: Final answer
    x = 15,108.74

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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.