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Finding the Fourth Proportional to 13,861.14, 20,780.76 and 7,283.76

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Solution

The fourth proportional to 13,861.14, 20,780.76 and 7,283.76 is: 10,919.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,861.14 : 20,780.76 = 7,283.76 : x
  2. Step 2: Convert to fraction form
    13,861.14/20,780.76 = 7,283.76/x
  3. Step 3: Cross multiply
    13,861.14x = 20,780.76 × 7,283.76
  4. Step 4: Simplify right side
    13,861.14x = 151,362,068.46
  5. Step 5: Solve for x
    x = 151,362,068.46/13,861.14
  6. Step 6: Final answer
    x = 10,919.89

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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.