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Finding the Fourth Proportional to 13,643.52, 20,465.40 and 3,783.60

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Solution

The fourth proportional to 13,643.52, 20,465.40 and 3,783.60 is: 5,675.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.52 : 20,465.40 = 3,783.60 : x
  2. Step 2: Convert to fraction form
    13,643.52/20,465.40 = 3,783.60/x
  3. Step 3: Cross multiply
    13,643.52x = 20,465.40 × 3,783.60
  4. Step 4: Simplify right side
    13,643.52x = 77,432,887.44
  5. Step 5: Solve for x
    x = 77,432,887.44/13,643.52
  6. Step 6: Final answer
    x = 5,675.43

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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.