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Finding the Fourth Proportional to 20,139.84, 30,223.20 and 7,671.36

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Solution

The fourth proportional to 20,139.84, 30,223.20 and 7,671.36 is: 11,512.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,139.84 : 30,223.20 = 7,671.36 : x
  2. Step 2: Convert to fraction form
    20,139.84/30,223.20 = 7,671.36/x
  3. Step 3: Cross multiply
    20,139.84x = 30,223.20 × 7,671.36
  4. Step 4: Simplify right side
    20,139.84x = 231,853,047.55
  5. Step 5: Solve for x
    x = 231,853,047.55/20,139.84
  6. Step 6: Final answer
    x = 11,512.16

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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.