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Finding the Fourth Proportional to 13,549.74, 20,328.27 and 5,649.64

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Solution

The fourth proportional to 13,549.74, 20,328.27 and 5,649.64 is: 8,475.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,549.74 : 20,328.27 = 5,649.64 : x
  2. Step 2: Convert to fraction form
    13,549.74/20,328.27 = 5,649.64/x
  3. Step 3: Cross multiply
    13,549.74x = 20,328.27 × 5,649.64
  4. Step 4: Simplify right side
    13,549.74x = 114,847,277.43
  5. Step 5: Solve for x
    x = 114,847,277.43/13,549.74
  6. Step 6: Final answer
    x = 8,475.98

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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.