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Finding the Fourth Proportional to 13,234.77, 19,859.10 and 5,844.30

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Solution

The fourth proportional to 13,234.77, 19,859.10 and 5,844.30 is: 8,769.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,234.77 : 19,859.10 = 5,844.30 : x
  2. Step 2: Convert to fraction form
    13,234.77/19,859.10 = 5,844.30/x
  3. Step 3: Cross multiply
    13,234.77x = 19,859.10 × 5,844.30
  4. Step 4: Simplify right side
    13,234.77x = 116,062,569.89
  5. Step 5: Solve for x
    x = 116,062,569.89/13,234.77
  6. Step 6: Final answer
    x = 8,769.52

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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.