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Finding the Fourth Proportional to 15,876.86, 23,814.86 and 4,190.18

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Solution

The fourth proportional to 15,876.86, 23,814.86 and 4,190.18 is: 6,285.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876.86 : 23,814.86 = 4,190.18 : x
  2. Step 2: Convert to fraction form
    15,876.86/23,814.86 = 4,190.18/x
  3. Step 3: Cross multiply
    15,876.86x = 23,814.86 × 4,190.18
  4. Step 4: Simplify right side
    15,876.86x = 99,788,410.05
  5. Step 5: Solve for x
    x = 99,788,410.05/15,876.86
  6. Step 6: Final answer
    x = 6,285.15

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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.