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Finding the Fourth Proportional to 20,865.09, 31,302.41 and 7,014.09

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Solution

The fourth proportional to 20,865.09, 31,302.41 and 7,014.09 is: 10,522.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,865.09 : 31,302.41 = 7,014.09 : x
  2. Step 2: Convert to fraction form
    20,865.09/31,302.41 = 7,014.09/x
  3. Step 3: Cross multiply
    20,865.09x = 31,302.41 × 7,014.09
  4. Step 4: Simplify right side
    20,865.09x = 219,557,885.89
  5. Step 5: Solve for x
    x = 219,557,885.89/20,865.09
  6. Step 6: Final answer
    x = 10,522.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.