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Finding the Fourth Proportional to 16,224.21, 24,354.54 and 12,570.50

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Solution

The fourth proportional to 16,224.21, 24,354.54 and 12,570.50 is: 18,869.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.21 : 24,354.54 = 12,570.50 : x
  2. Step 2: Convert to fraction form
    16,224.21/24,354.54 = 12,570.50/x
  3. Step 3: Cross multiply
    16,224.21x = 24,354.54 × 12,570.50
  4. Step 4: Simplify right side
    16,224.21x = 306,148,623.30
  5. Step 5: Solve for x
    x = 306,148,623.30/16,224.21
  6. Step 6: Final answer
    x = 18,869.86

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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.