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Finding the Fourth Proportional to 14,263.14, 21,376.89 and 6,865.62

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Solution

The fourth proportional to 14,263.14, 21,376.89 and 6,865.62 is: 10,289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,263.14 : 21,376.89 = 6,865.62 : x
  2. Step 2: Convert to fraction form
    14,263.14/21,376.89 = 6,865.62/x
  3. Step 3: Cross multiply
    14,263.14x = 21,376.89 × 6,865.62
  4. Step 4: Simplify right side
    14,263.14x = 146,765,603.52
  5. Step 5: Solve for x
    x = 146,765,603.52/14,263.14
  6. Step 6: Final answer
    x = 10,289.85

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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.