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Finding the Fourth Proportional to 13,643.15, 20,464.71 and 4,283.90

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Solution

The fourth proportional to 13,643.15, 20,464.71 and 4,283.90 is: 6,425.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.15 : 20,464.71 = 4,283.90 : x
  2. Step 2: Convert to fraction form
    13,643.15/20,464.71 = 4,283.90/x
  3. Step 3: Cross multiply
    13,643.15x = 20,464.71 × 4,283.90
  4. Step 4: Simplify right side
    13,643.15x = 87,668,753.62
  5. Step 5: Solve for x
    x = 87,668,753.62/13,643.15
  6. Step 6: Final answer
    x = 6,425.84

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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.