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Finding the Fourth Proportional to 13,843.89, 20,765.61 and 6,444.18

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Solution

The fourth proportional to 13,843.89, 20,765.61 and 6,444.18 is: 9,666.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.89 : 20,765.61 = 6,444.18 : x
  2. Step 2: Convert to fraction form
    13,843.89/20,765.61 = 6,444.18/x
  3. Step 3: Cross multiply
    13,843.89x = 20,765.61 × 6,444.18
  4. Step 4: Simplify right side
    13,843.89x = 133,817,328.65
  5. Step 5: Solve for x
    x = 133,817,328.65/13,843.89
  6. Step 6: Final answer
    x = 9,666.17

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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.