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Finding the Fourth Proportional to 20,967.84, 31,448.16 and 7,816.68

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Solution

The fourth proportional to 20,967.84, 31,448.16 and 7,816.68 is: 11,723.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,967.84 : 31,448.16 = 7,816.68 : x
  2. Step 2: Convert to fraction form
    20,967.84/31,448.16 = 7,816.68/x
  3. Step 3: Cross multiply
    20,967.84x = 31,448.16 × 7,816.68
  4. Step 4: Simplify right side
    20,967.84x = 245,820,203.31
  5. Step 5: Solve for x
    x = 245,820,203.31/20,967.84
  6. Step 6: Final answer
    x = 11,723.68

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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.