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Finding the Fourth Proportional to 20,807.80, 31,208.63 and 7,657.11

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Solution

The fourth proportional to 20,807.80, 31,208.63 and 7,657.11 is: 11,484.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,807.80 : 31,208.63 = 7,657.11 : x
  2. Step 2: Convert to fraction form
    20,807.80/31,208.63 = 7,657.11/x
  3. Step 3: Cross multiply
    20,807.80x = 31,208.63 × 7,657.11
  4. Step 4: Simplify right side
    20,807.80x = 238,967,874.57
  5. Step 5: Solve for x
    x = 238,967,874.57/20,807.80
  6. Step 6: Final answer
    x = 11,484.53

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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.