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Finding the Fourth Proportional to 13,384.17, 20,076.59 and 4,499.64

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Solution

The fourth proportional to 13,384.17, 20,076.59 and 4,499.64 is: 6,749.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.17 : 20,076.59 = 4,499.64 : x
  2. Step 2: Convert to fraction form
    13,384.17/20,076.59 = 4,499.64/x
  3. Step 3: Cross multiply
    13,384.17x = 20,076.59 × 4,499.64
  4. Step 4: Simplify right side
    13,384.17x = 90,337,438.68
  5. Step 5: Solve for x
    x = 90,337,438.68/13,384.17
  6. Step 6: Final answer
    x = 6,749.57

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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.