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Finding the Fourth Proportional to 20,800.35, 31,182.98 and 9,701.19

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Solution

The fourth proportional to 20,800.35, 31,182.98 and 9,701.19 is: 14,543.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800.35 : 31,182.98 = 9,701.19 : x
  2. Step 2: Convert to fraction form
    20,800.35/31,182.98 = 9,701.19/x
  3. Step 3: Cross multiply
    20,800.35x = 31,182.98 × 9,701.19
  4. Step 4: Simplify right side
    20,800.35x = 302,511,965.24
  5. Step 5: Solve for x
    x = 302,511,965.24/20,800.35
  6. Step 6: Final answer
    x = 14,543.60

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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.