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Finding the Fourth Proportional to 13,743.60, 20,615.40 and 4,978.50

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Solution

The fourth proportional to 13,743.60, 20,615.40 and 4,978.50 is: 7,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,743.60 : 20,615.40 = 4,978.50 : x
  2. Step 2: Convert to fraction form
    13,743.60/20,615.40 = 4,978.50/x
  3. Step 3: Cross multiply
    13,743.60x = 20,615.40 × 4,978.50
  4. Step 4: Simplify right side
    13,743.60x = 102,633,768.90
  5. Step 5: Solve for x
    x = 102,633,768.90/13,743.60
  6. Step 6: Final answer
    x = 7,467.75

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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.