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Finding the Fourth Proportional to 13,566.40, 20,346.52 and 4,801.31

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Solution

The fourth proportional to 13,566.40, 20,346.52 and 4,801.31 is: 7,200.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,566.40 : 20,346.52 = 4,801.31 : x
  2. Step 2: Convert to fraction form
    13,566.40/20,346.52 = 4,801.31/x
  3. Step 3: Cross multiply
    13,566.40x = 20,346.52 × 4,801.31
  4. Step 4: Simplify right side
    13,566.40x = 97,689,949.94
  5. Step 5: Solve for x
    x = 97,689,949.94/13,566.40
  6. Step 6: Final answer
    x = 7,200.87

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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.