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Finding the Fourth Proportional to 20,253.76, 30,394.26 and 7,106.20

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Solution

The fourth proportional to 20,253.76, 30,394.26 and 7,106.20 is: 10,664.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,253.76 : 30,394.26 = 7,106.20 : x
  2. Step 2: Convert to fraction form
    20,253.76/30,394.26 = 7,106.20/x
  3. Step 3: Cross multiply
    20,253.76x = 30,394.26 × 7,106.20
  4. Step 4: Simplify right side
    20,253.76x = 215,987,690.41
  5. Step 5: Solve for x
    x = 215,987,690.41/20,253.76
  6. Step 6: Final answer
    x = 10,664.08

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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.