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Finding the Fourth Proportional to 20,831.70, 31,239.15 and 7,681.15

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Solution

The fourth proportional to 20,831.70, 31,239.15 and 7,681.15 is: 11,518.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,831.70 : 31,239.15 = 7,681.15 : x
  2. Step 2: Convert to fraction form
    20,831.70/31,239.15 = 7,681.15/x
  3. Step 3: Cross multiply
    20,831.70x = 31,239.15 × 7,681.15
  4. Step 4: Simplify right side
    20,831.70x = 239,952,597.02
  5. Step 5: Solve for x
    x = 239,952,597.02/20,831.70
  6. Step 6: Final answer
    x = 11,518.63

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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.