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Finding the Fourth Proportional to 20,157.80, 30,200.70 and 9,746.60

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Solution

The fourth proportional to 20,157.80, 30,200.70 and 9,746.60 is: 14,602.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.80 : 30,200.70 = 9,746.60 : x
  2. Step 2: Convert to fraction form
    20,157.80/30,200.70 = 9,746.60/x
  3. Step 3: Cross multiply
    20,157.80x = 30,200.70 × 9,746.60
  4. Step 4: Simplify right side
    20,157.80x = 294,354,142.62
  5. Step 5: Solve for x
    x = 294,354,142.62/20,157.80
  6. Step 6: Final answer
    x = 14,602.49

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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.