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Finding the Fourth Proportional to 14,333.84, 19,771.27 and 9,024.20

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Solution

The fourth proportional to 14,333.84, 19,771.27 and 9,024.20 is: 12,447.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,333.84 : 19,771.27 = 9,024.20 : x
  2. Step 2: Convert to fraction form
    14,333.84/19,771.27 = 9,024.20/x
  3. Step 3: Cross multiply
    14,333.84x = 19,771.27 × 9,024.20
  4. Step 4: Simplify right side
    14,333.84x = 178,419,773.32
  5. Step 5: Solve for x
    x = 178,419,773.32/14,333.84
  6. Step 6: Final answer
    x = 12,447.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.