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Finding the Fourth Proportional to 20,861.94, 31,290.03 and 7,009.14

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Solution

The fourth proportional to 20,861.94, 31,290.03 and 7,009.14 is: 10,512.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,861.94 : 31,290.03 = 7,009.14 : x
  2. Step 2: Convert to fraction form
    20,861.94/31,290.03 = 7,009.14/x
  3. Step 3: Cross multiply
    20,861.94x = 31,290.03 × 7,009.14
  4. Step 4: Simplify right side
    20,861.94x = 219,316,200.87
  5. Step 5: Solve for x
    x = 219,316,200.87/20,861.94
  6. Step 6: Final answer
    x = 10,512.74

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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.