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Finding the Fourth Proportional to 20,781.16, 31,174.94 and 6,929

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Solution

The fourth proportional to 20,781.16, 31,174.94 and 6,929 is: 10,394.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,781.16 : 31,174.94 = 6,929 : x
  2. Step 2: Convert to fraction form
    20,781.16/31,174.94 = 6,929/x
  3. Step 3: Cross multiply
    20,781.16x = 31,174.94 × 6,929
  4. Step 4: Simplify right side
    20,781.16x = 216,011,159.26
  5. Step 5: Solve for x
    x = 216,011,159.26/20,781.16
  6. Step 6: Final answer
    x = 10,394.57

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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.