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Finding the Fourth Proportional to 14,533.85, 21,799.55 and 5,766.41

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Solution

The fourth proportional to 14,533.85, 21,799.55 and 5,766.41 is: 8,649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,533.85 : 21,799.55 = 5,766.41 : x
  2. Step 2: Convert to fraction form
    14,533.85/21,799.55 = 5,766.41/x
  3. Step 3: Cross multiply
    14,533.85x = 21,799.55 × 5,766.41
  4. Step 4: Simplify right side
    14,533.85x = 125,705,143.12
  5. Step 5: Solve for x
    x = 125,705,143.12/14,533.85
  6. Step 6: Final answer
    x = 8,649.13

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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.