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Finding the Fourth Proportional to 20,103.51, 30,122.02 and 6,948.57

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Solution

The fourth proportional to 20,103.51, 30,122.02 and 6,948.57 is: 10,411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,103.51 : 30,122.02 = 6,948.57 : x
  2. Step 2: Convert to fraction form
    20,103.51/30,122.02 = 6,948.57/x
  3. Step 3: Cross multiply
    20,103.51x = 30,122.02 × 6,948.57
  4. Step 4: Simplify right side
    20,103.51x = 209,304,964.51
  5. Step 5: Solve for x
    x = 209,304,964.51/20,103.51
  6. Step 6: Final answer
    x = 10,411.36

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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.