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Finding the Fourth Proportional to 20,985.60, 31,474.80 and 7,831.20

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Solution

The fourth proportional to 20,985.60, 31,474.80 and 7,831.20 is: 11,745.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,985.60 : 31,474.80 = 7,831.20 : x
  2. Step 2: Convert to fraction form
    20,985.60/31,474.80 = 7,831.20/x
  3. Step 3: Cross multiply
    20,985.60x = 31,474.80 × 7,831.20
  4. Step 4: Simplify right side
    20,985.60x = 246,485,453.76
  5. Step 5: Solve for x
    x = 246,485,453.76/20,985.60
  6. Step 6: Final answer
    x = 11,745.46

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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.