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Finding the Fourth Proportional to 14,023.60, 19,344.02 and 8,354.61

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Solution

The fourth proportional to 14,023.60, 19,344.02 and 8,354.61 is: 11,524.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,023.60 : 19,344.02 = 8,354.61 : x
  2. Step 2: Convert to fraction form
    14,023.60/19,344.02 = 8,354.61/x
  3. Step 3: Cross multiply
    14,023.60x = 19,344.02 × 8,354.61
  4. Step 4: Simplify right side
    14,023.60x = 161,611,701.16
  5. Step 5: Solve for x
    x = 161,611,701.16/14,023.60
  6. Step 6: Final answer
    x = 11,524.27

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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.