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Finding the Fourth Proportional to 15,917.35, 23,876 and 4,230.57

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Solution

The fourth proportional to 15,917.35, 23,876 and 4,230.57 is: 6,345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,917.35 : 23,876 = 4,230.57 : x
  2. Step 2: Convert to fraction form
    15,917.35/23,876 = 4,230.57/x
  3. Step 3: Cross multiply
    15,917.35x = 23,876 × 4,230.57
  4. Step 4: Simplify right side
    15,917.35x = 101,009,089.32
  5. Step 5: Solve for x
    x = 101,009,089.32/15,917.35
  6. Step 6: Final answer
    x = 6,345.85

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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.