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Finding the Fourth Proportional to 13,784.31, 20,673.50 and 4,421.79

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Solution

The fourth proportional to 13,784.31, 20,673.50 and 4,421.79 is: 6,631.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.31 : 20,673.50 = 4,421.79 : x
  2. Step 2: Convert to fraction form
    13,784.31/20,673.50 = 4,421.79/x
  3. Step 3: Cross multiply
    13,784.31x = 20,673.50 × 4,421.79
  4. Step 4: Simplify right side
    13,784.31x = 91,413,853.46
  5. Step 5: Solve for x
    x = 91,413,853.46/13,784.31
  6. Step 6: Final answer
    x = 6,631.73

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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.