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Finding the Fourth Proportional to 20,861.90, 31,298.02 and 6,070.96

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Solution

The fourth proportional to 20,861.90, 31,298.02 and 6,070.96 is: 9,107.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,861.90 : 31,298.02 = 6,070.96 : x
  2. Step 2: Convert to fraction form
    20,861.90/31,298.02 = 6,070.96/x
  3. Step 3: Cross multiply
    20,861.90x = 31,298.02 × 6,070.96
  4. Step 4: Simplify right side
    20,861.90x = 190,009,027.50
  5. Step 5: Solve for x
    x = 190,009,027.50/20,861.90
  6. Step 6: Final answer
    x = 9,107.94

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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.