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Finding the Fourth Proportional to 20,011.80, 30,009.60 and 6,857.40

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Solution

The fourth proportional to 20,011.80, 30,009.60 and 6,857.40 is: 10,283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,011.80 : 30,009.60 = 6,857.40 : x
  2. Step 2: Convert to fraction form
    20,011.80/30,009.60 = 6,857.40/x
  3. Step 3: Cross multiply
    20,011.80x = 30,009.60 × 6,857.40
  4. Step 4: Simplify right side
    20,011.80x = 205,787,831.04
  5. Step 5: Solve for x
    x = 205,787,831.04/20,011.80
  6. Step 6: Final answer
    x = 10,283.32

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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.