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Finding the Fourth Proportional to 13,483.83, 20,199.05 and 6,358.31

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Solution

The fourth proportional to 13,483.83, 20,199.05 and 6,358.31 is: 9,524.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,483.83 : 20,199.05 = 6,358.31 : x
  2. Step 2: Convert to fraction form
    13,483.83/20,199.05 = 6,358.31/x
  3. Step 3: Cross multiply
    13,483.83x = 20,199.05 × 6,358.31
  4. Step 4: Simplify right side
    13,483.83x = 128,431,888.00
  5. Step 5: Solve for x
    x = 128,431,888.00/13,483.83
  6. Step 6: Final answer
    x = 9,524.88

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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.