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Finding the Fourth Proportional to 13,782.18, 20,671.56 and 4,421.46

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Solution

The fourth proportional to 13,782.18, 20,671.56 and 4,421.46 is: 6,631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.18 : 20,671.56 = 4,421.46 : x
  2. Step 2: Convert to fraction form
    13,782.18/20,671.56 = 4,421.46/x
  3. Step 3: Cross multiply
    13,782.18x = 20,671.56 × 4,421.46
  4. Step 4: Simplify right side
    13,782.18x = 91,398,475.68
  5. Step 5: Solve for x
    x = 91,398,475.68/13,782.18
  6. Step 6: Final answer
    x = 6,631.64

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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.