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Finding the Fourth Proportional to 16,430.50, 24,645.78 and 4,118.50

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Solution

The fourth proportional to 16,430.50, 24,645.78 and 4,118.50 is: 6,177.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,430.50 : 24,645.78 = 4,118.50 : x
  2. Step 2: Convert to fraction form
    16,430.50/24,645.78 = 4,118.50/x
  3. Step 3: Cross multiply
    16,430.50x = 24,645.78 × 4,118.50
  4. Step 4: Simplify right side
    16,430.50x = 101,503,644.93
  5. Step 5: Solve for x
    x = 101,503,644.93/16,430.50
  6. Step 6: Final answer
    x = 6,177.76

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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.