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Finding the Fourth Proportional to 20,924.16, 31,398.48 and 7,785.84

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Solution

The fourth proportional to 20,924.16, 31,398.48 and 7,785.84 is: 11,683.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,924.16 : 31,398.48 = 7,785.84 : x
  2. Step 2: Convert to fraction form
    20,924.16/31,398.48 = 7,785.84/x
  3. Step 3: Cross multiply
    20,924.16x = 31,398.48 × 7,785.84
  4. Step 4: Simplify right side
    20,924.16x = 244,463,541.52
  5. Step 5: Solve for x
    x = 244,463,541.52/20,924.16
  6. Step 6: Final answer
    x = 11,683.31

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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.