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Finding the Fourth Proportional to 16,283.07, 24,408 and 6,418.35

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Solution

The fourth proportional to 16,283.07, 24,408 and 6,418.35 is: 9,620.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.07 : 24,408 = 6,418.35 : x
  2. Step 2: Convert to fraction form
    16,283.07/24,408 = 6,418.35/x
  3. Step 3: Cross multiply
    16,283.07x = 24,408 × 6,418.35
  4. Step 4: Simplify right side
    16,283.07x = 156,659,086.80
  5. Step 5: Solve for x
    x = 156,659,086.80/16,283.07
  6. Step 6: Final answer
    x = 9,620.98

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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.