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Finding the Fourth Proportional to 14,854.21, 22,280.23 and 5,489.87

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Solution

The fourth proportional to 14,854.21, 22,280.23 and 5,489.87 is: 8,234.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.21 : 22,280.23 = 5,489.87 : x
  2. Step 2: Convert to fraction form
    14,854.21/22,280.23 = 5,489.87/x
  3. Step 3: Cross multiply
    14,854.21x = 22,280.23 × 5,489.87
  4. Step 4: Simplify right side
    14,854.21x = 122,315,427.42
  5. Step 5: Solve for x
    x = 122,315,427.42/14,854.21
  6. Step 6: Final answer
    x = 8,234.39

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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.