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Finding the Fourth Proportional to 20,715.90, 31,078.35 and 7,568.25

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Solution

The fourth proportional to 20,715.90, 31,078.35 and 7,568.25 is: 11,354.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,715.90 : 31,078.35 = 7,568.25 : x
  2. Step 2: Convert to fraction form
    20,715.90/31,078.35 = 7,568.25/x
  3. Step 3: Cross multiply
    20,715.90x = 31,078.35 × 7,568.25
  4. Step 4: Simplify right side
    20,715.90x = 235,208,722.39
  5. Step 5: Solve for x
    x = 235,208,722.39/20,715.90
  6. Step 6: Final answer
    x = 11,354.02

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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.