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Finding the Fourth Proportional to 13,501.64, 20,251.56 and 6,486.68

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Solution

The fourth proportional to 13,501.64, 20,251.56 and 6,486.68 is: 9,729.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,501.64 : 20,251.56 = 6,486.68 : x
  2. Step 2: Convert to fraction form
    13,501.64/20,251.56 = 6,486.68/x
  3. Step 3: Cross multiply
    13,501.64x = 20,251.56 × 6,486.68
  4. Step 4: Simplify right side
    13,501.64x = 131,365,389.22
  5. Step 5: Solve for x
    x = 131,365,389.22/13,501.64
  6. Step 6: Final answer
    x = 9,729.59

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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.