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Finding the Fourth Proportional to 16,432.50, 24,656.05 and 12,211.59

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Solution

The fourth proportional to 16,432.50, 24,656.05 and 12,211.59 is: 18,322.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,432.50 : 24,656.05 = 12,211.59 : x
  2. Step 2: Convert to fraction form
    16,432.50/24,656.05 = 12,211.59/x
  3. Step 3: Cross multiply
    16,432.50x = 24,656.05 × 12,211.59
  4. Step 4: Simplify right side
    16,432.50x = 301,089,612.65
  5. Step 5: Solve for x
    x = 301,089,612.65/16,432.50
  6. Step 6: Final answer
    x = 18,322.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.