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Finding the Fourth Proportional to 13,563.68, 20,347.40 and 4,204.44

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Solution

The fourth proportional to 13,563.68, 20,347.40 and 4,204.44 is: 6,307.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,563.68 : 20,347.40 = 4,204.44 : x
  2. Step 2: Convert to fraction form
    13,563.68/20,347.40 = 4,204.44/x
  3. Step 3: Cross multiply
    13,563.68x = 20,347.40 × 4,204.44
  4. Step 4: Simplify right side
    13,563.68x = 85,549,422.46
  5. Step 5: Solve for x
    x = 85,549,422.46/13,563.68
  6. Step 6: Final answer
    x = 6,307.24

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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.