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Finding the Fourth Proportional to 12,050.86, 18,074.58 and 4,658.80

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Solution

The fourth proportional to 12,050.86, 18,074.58 and 4,658.80 is: 6,987.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,050.86 : 18,074.58 = 4,658.80 : x
  2. Step 2: Convert to fraction form
    12,050.86/18,074.58 = 4,658.80/x
  3. Step 3: Cross multiply
    12,050.86x = 18,074.58 × 4,658.80
  4. Step 4: Simplify right side
    12,050.86x = 84,205,853.30
  5. Step 5: Solve for x
    x = 84,205,853.30/12,050.86
  6. Step 6: Final answer
    x = 6,987.54

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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.