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Finding the Fourth Proportional to 13,483.14, 20,211.65 and 5,156.75

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Solution

The fourth proportional to 13,483.14, 20,211.65 and 5,156.75 is: 7,730.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,483.14 : 20,211.65 = 5,156.75 : x
  2. Step 2: Convert to fraction form
    13,483.14/20,211.65 = 5,156.75/x
  3. Step 3: Cross multiply
    13,483.14x = 20,211.65 × 5,156.75
  4. Step 4: Simplify right side
    13,483.14x = 104,226,299.30
  5. Step 5: Solve for x
    x = 104,226,299.30/13,483.14
  6. Step 6: Final answer
    x = 7,730.12

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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.