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Finding the Fourth Proportional to 20,001.60, 30,002.40 and 6,148.80

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Solution

The fourth proportional to 20,001.60, 30,002.40 and 6,148.80 is: 9,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,001.60 : 30,002.40 = 6,148.80 : x
  2. Step 2: Convert to fraction form
    20,001.60/30,002.40 = 6,148.80/x
  3. Step 3: Cross multiply
    20,001.60x = 30,002.40 × 6,148.80
  4. Step 4: Simplify right side
    20,001.60x = 184,478,757.12
  5. Step 5: Solve for x
    x = 184,478,757.12/20,001.60
  6. Step 6: Final answer
    x = 9,223.20

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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.