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Finding the Fourth Proportional to 20,931.96, 31,400.98 and 7,076.28

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Solution

The fourth proportional to 20,931.96, 31,400.98 and 7,076.28 is: 10,615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,931.96 : 31,400.98 = 7,076.28 : x
  2. Step 2: Convert to fraction form
    20,931.96/31,400.98 = 7,076.28/x
  3. Step 3: Cross multiply
    20,931.96x = 31,400.98 × 7,076.28
  4. Step 4: Simplify right side
    20,931.96x = 222,202,126.75
  5. Step 5: Solve for x
    x = 222,202,126.75/20,931.96
  6. Step 6: Final answer
    x = 10,615.45

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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.