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Finding the Fourth Proportional to 13,644.96, 20,454.99 and 4,877.82

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Solution

The fourth proportional to 13,644.96, 20,454.99 and 4,877.82 is: 7,312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.96 : 20,454.99 = 4,877.82 : x
  2. Step 2: Convert to fraction form
    13,644.96/20,454.99 = 4,877.82/x
  3. Step 3: Cross multiply
    13,644.96x = 20,454.99 × 4,877.82
  4. Step 4: Simplify right side
    13,644.96x = 99,775,759.32
  5. Step 5: Solve for x
    x = 99,775,759.32/13,644.96
  6. Step 6: Final answer
    x = 7,312.28

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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.