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Finding the Fourth Proportional to 20,179.25, 30,269.03 and 7,031.60

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Solution

The fourth proportional to 20,179.25, 30,269.03 and 7,031.60 is: 10,547.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,179.25 : 30,269.03 = 7,031.60 : x
  2. Step 2: Convert to fraction form
    20,179.25/30,269.03 = 7,031.60/x
  3. Step 3: Cross multiply
    20,179.25x = 30,269.03 × 7,031.60
  4. Step 4: Simplify right side
    20,179.25x = 212,839,751.86
  5. Step 5: Solve for x
    x = 212,839,751.86/20,179.25
  6. Step 6: Final answer
    x = 10,547.45

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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.