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Finding the Fourth Proportional to 20,285.71, 30,430.17 and 7,141.03

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Solution

The fourth proportional to 20,285.71, 30,430.17 and 7,141.03 is: 10,712.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,285.71 : 30,430.17 = 7,141.03 : x
  2. Step 2: Convert to fraction form
    20,285.71/30,430.17 = 7,141.03/x
  3. Step 3: Cross multiply
    20,285.71x = 30,430.17 × 7,141.03
  4. Step 4: Simplify right side
    20,285.71x = 217,302,756.88
  5. Step 5: Solve for x
    x = 217,302,756.88/20,285.71
  6. Step 6: Final answer
    x = 10,712.11

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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.