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Finding the Fourth Proportional to 20,068.14, 30,106.24 and 6,921.02

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Solution

The fourth proportional to 20,068.14, 30,106.24 and 6,921.02 is: 10,382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,068.14 : 30,106.24 = 6,921.02 : x
  2. Step 2: Convert to fraction form
    20,068.14/30,106.24 = 6,921.02/x
  3. Step 3: Cross multiply
    20,068.14x = 30,106.24 × 6,921.02
  4. Step 4: Simplify right side
    20,068.14x = 208,365,889.16
  5. Step 5: Solve for x
    x = 208,365,889.16/20,068.14
  6. Step 6: Final answer
    x = 10,382.92

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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.