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Finding the Fourth Proportional to 14,023.84, 19,344.36 and 8,354.86

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Solution

The fourth proportional to 14,023.84, 19,344.36 and 8,354.86 is: 11,524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,023.84 : 19,344.36 = 8,354.86 : x
  2. Step 2: Convert to fraction form
    14,023.84/19,344.36 = 8,354.86/x
  3. Step 3: Cross multiply
    14,023.84x = 19,344.36 × 8,354.86
  4. Step 4: Simplify right side
    14,023.84x = 161,619,419.59
  5. Step 5: Solve for x
    x = 161,619,419.59/14,023.84
  6. Step 6: Final answer
    x = 11,524.62

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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.