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Finding the Fourth Proportional to 20,685.40, 31,036.20 and 8,203.30

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Solution

The fourth proportional to 20,685.40, 31,036.20 and 8,203.30 is: 12,308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,685.40 : 31,036.20 = 8,203.30 : x
  2. Step 2: Convert to fraction form
    20,685.40/31,036.20 = 8,203.30/x
  3. Step 3: Cross multiply
    20,685.40x = 31,036.20 × 8,203.30
  4. Step 4: Simplify right side
    20,685.40x = 254,599,259.46
  5. Step 5: Solve for x
    x = 254,599,259.46/20,685.40
  6. Step 6: Final answer
    x = 12,308.16

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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.