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Finding the Fourth Proportional to 16,277.70, 24,420.33 and 6,416.22

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Solution

The fourth proportional to 16,277.70, 24,420.33 and 6,416.22 is: 9,625.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.70 : 24,420.33 = 6,416.22 : x
  2. Step 2: Convert to fraction form
    16,277.70/24,420.33 = 6,416.22/x
  3. Step 3: Cross multiply
    16,277.70x = 24,420.33 × 6,416.22
  4. Step 4: Simplify right side
    16,277.70x = 156,686,209.75
  5. Step 5: Solve for x
    x = 156,686,209.75/16,277.70
  6. Step 6: Final answer
    x = 9,625.82

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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.