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Finding the Fourth Proportional to 16,420.86, 22,658.67 and 9,249.90

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Solution

The fourth proportional to 16,420.86, 22,658.67 and 9,249.90 is: 12,763.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,420.86 : 22,658.67 = 9,249.90 : x
  2. Step 2: Convert to fraction form
    16,420.86/22,658.67 = 9,249.90/x
  3. Step 3: Cross multiply
    16,420.86x = 22,658.67 × 9,249.90
  4. Step 4: Simplify right side
    16,420.86x = 209,590,431.63
  5. Step 5: Solve for x
    x = 209,590,431.63/16,420.86
  6. Step 6: Final answer
    x = 12,763.67

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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.