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Finding the Fourth Proportional to 16,314.14, 24,473.14 and 5,781.98

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Solution

The fourth proportional to 16,314.14, 24,473.14 and 5,781.98 is: 8,673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.14 : 24,473.14 = 5,781.98 : x
  2. Step 2: Convert to fraction form
    16,314.14/24,473.14 = 5,781.98/x
  3. Step 3: Cross multiply
    16,314.14x = 24,473.14 × 5,781.98
  4. Step 4: Simplify right side
    16,314.14x = 141,503,252.75
  5. Step 5: Solve for x
    x = 141,503,252.75/16,314.14
  6. Step 6: Final answer
    x = 8,673.66

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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.