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Finding the Fourth Proportional to 20,924.74, 31,378.08 and 7,767.46

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Solution

The fourth proportional to 20,924.74, 31,378.08 and 7,767.46 is: 11,647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,924.74 : 31,378.08 = 7,767.46 : x
  2. Step 2: Convert to fraction form
    20,924.74/31,378.08 = 7,767.46/x
  3. Step 3: Cross multiply
    20,924.74x = 31,378.08 × 7,767.46
  4. Step 4: Simplify right side
    20,924.74x = 243,727,981.28
  5. Step 5: Solve for x
    x = 243,727,981.28/20,924.74
  6. Step 6: Final answer
    x = 11,647.84

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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.