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Finding the Fourth Proportional to 14,419.85, 21,638.88 and 5,654.54

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Solution

The fourth proportional to 14,419.85, 21,638.88 and 5,654.54 is: 8,485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419.85 : 21,638.88 = 5,654.54 : x
  2. Step 2: Convert to fraction form
    14,419.85/21,638.88 = 5,654.54/x
  3. Step 3: Cross multiply
    14,419.85x = 21,638.88 × 5,654.54
  4. Step 4: Simplify right side
    14,419.85x = 122,357,966.61
  5. Step 5: Solve for x
    x = 122,357,966.61/14,419.85
  6. Step 6: Final answer
    x = 8,485.39

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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.