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Finding the Fourth Proportional to 21,178.36, 31,770.47 and 7,142.41

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Solution

The fourth proportional to 21,178.36, 31,770.47 and 7,142.41 is: 10,714.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,178.36 : 31,770.47 = 7,142.41 : x
  2. Step 2: Convert to fraction form
    21,178.36/31,770.47 = 7,142.41/x
  3. Step 3: Cross multiply
    21,178.36x = 31,770.47 × 7,142.41
  4. Step 4: Simplify right side
    21,178.36x = 226,917,661.06
  5. Step 5: Solve for x
    x = 226,917,661.06/21,178.36
  6. Step 6: Final answer
    x = 10,714.60

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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.