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Finding the Fourth Proportional to 16,200.96, 24,312 and 12,243.84

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Solution

The fourth proportional to 16,200.96, 24,312 and 12,243.84 is: 18,373.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200.96 : 24,312 = 12,243.84 : x
  2. Step 2: Convert to fraction form
    16,200.96/24,312 = 12,243.84/x
  3. Step 3: Cross multiply
    16,200.96x = 24,312 × 12,243.84
  4. Step 4: Simplify right side
    16,200.96x = 297,672,238.08
  5. Step 5: Solve for x
    x = 297,672,238.08/16,200.96
  6. Step 6: Final answer
    x = 18,373.74

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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.