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Finding the Fourth Proportional to 20,690.12, 31,038.06 and 6,650.58

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Solution

The fourth proportional to 20,690.12, 31,038.06 and 6,650.58 is: 9,976.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,690.12 : 31,038.06 = 6,650.58 : x
  2. Step 2: Convert to fraction form
    20,690.12/31,038.06 = 6,650.58/x
  3. Step 3: Cross multiply
    20,690.12x = 31,038.06 × 6,650.58
  4. Step 4: Simplify right side
    20,690.12x = 206,421,101.07
  5. Step 5: Solve for x
    x = 206,421,101.07/20,690.12
  6. Step 6: Final answer
    x = 9,976.80

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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.