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Finding the Fourth Proportional to 21,177.96, 31,771.56 and 8,030.46

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Solution

The fourth proportional to 21,177.96, 31,771.56 and 8,030.46 is: 12,047.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,177.96 : 31,771.56 = 8,030.46 : x
  2. Step 2: Convert to fraction form
    21,177.96/31,771.56 = 8,030.46/x
  3. Step 3: Cross multiply
    21,177.96x = 31,771.56 × 8,030.46
  4. Step 4: Simplify right side
    21,177.96x = 255,140,241.72
  5. Step 5: Solve for x
    x = 255,140,241.72/21,177.96
  6. Step 6: Final answer
    x = 12,047.44

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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.