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Finding the Fourth Proportional to 20,237.60, 30,349.20 and 9,149.60

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Solution

The fourth proportional to 20,237.60, 30,349.20 and 9,149.60 is: 13,721.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,237.60 : 30,349.20 = 9,149.60 : x
  2. Step 2: Convert to fraction form
    20,237.60/30,349.20 = 9,149.60/x
  3. Step 3: Cross multiply
    20,237.60x = 30,349.20 × 9,149.60
  4. Step 4: Simplify right side
    20,237.60x = 277,683,040.32
  5. Step 5: Solve for x
    x = 277,683,040.32/20,237.60
  6. Step 6: Final answer
    x = 13,721.14

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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.