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Finding the Fourth Proportional to 13,649.90, 20,479.84 and 5,754.40

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Solution

The fourth proportional to 13,649.90, 20,479.84 and 5,754.40 is: 8,633.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.90 : 20,479.84 = 5,754.40 : x
  2. Step 2: Convert to fraction form
    13,649.90/20,479.84 = 5,754.40/x
  3. Step 3: Cross multiply
    13,649.90x = 20,479.84 × 5,754.40
  4. Step 4: Simplify right side
    13,649.90x = 117,849,191.30
  5. Step 5: Solve for x
    x = 117,849,191.30/13,649.90
  6. Step 6: Final answer
    x = 8,633.70

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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.