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Finding the Fourth Proportional to 15,910.86, 23,866.35 and 5,380.93

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Solution

The fourth proportional to 15,910.86, 23,866.35 and 5,380.93 is: 8,071.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,910.86 : 23,866.35 = 5,380.93 : x
  2. Step 2: Convert to fraction form
    15,910.86/23,866.35 = 5,380.93/x
  3. Step 3: Cross multiply
    15,910.86x = 23,866.35 × 5,380.93
  4. Step 4: Simplify right side
    15,910.86x = 128,423,188.54
  5. Step 5: Solve for x
    x = 128,423,188.54/15,910.86
  6. Step 6: Final answer
    x = 8,071.42

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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.