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Finding the Fourth Proportional to 23,205.54, 34,814.43 and 10,054.86

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Solution

The fourth proportional to 23,205.54, 34,814.43 and 10,054.86 is: 15,084.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.54 : 34,814.43 = 10,054.86 : x
  2. Step 2: Convert to fraction form
    23,205.54/34,814.43 = 10,054.86/x
  3. Step 3: Cross multiply
    23,205.54x = 34,814.43 × 10,054.86
  4. Step 4: Simplify right side
    23,205.54x = 350,054,219.63
  5. Step 5: Solve for x
    x = 350,054,219.63/23,205.54
  6. Step 6: Final answer
    x = 15,084.94

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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.