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Finding the Fourth Proportional to 13,549.99, 20,328.64 and 5,649.89

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Solution

The fourth proportional to 13,549.99, 20,328.64 and 5,649.89 is: 8,476.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,549.99 : 20,328.64 = 5,649.89 : x
  2. Step 2: Convert to fraction form
    13,549.99/20,328.64 = 5,649.89/x
  3. Step 3: Cross multiply
    13,549.99x = 20,328.64 × 5,649.89
  4. Step 4: Simplify right side
    13,549.99x = 114,854,478.21
  5. Step 5: Solve for x
    x = 114,854,478.21/13,549.99
  6. Step 6: Final answer
    x = 8,476.35

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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.