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Finding the Fourth Proportional to 14,423.17, 21,654.87 and 7,408.02

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Solution

The fourth proportional to 14,423.17, 21,654.87 and 7,408.02 is: 11,122.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,423.17 : 21,654.87 = 7,408.02 : x
  2. Step 2: Convert to fraction form
    14,423.17/21,654.87 = 7,408.02/x
  3. Step 3: Cross multiply
    14,423.17x = 21,654.87 × 7,408.02
  4. Step 4: Simplify right side
    14,423.17x = 160,419,710.06
  5. Step 5: Solve for x
    x = 160,419,710.06/14,423.17
  6. Step 6: Final answer
    x = 11,122.37

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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.