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Finding the Fourth Proportional to 28,674, 39,570.12 and 16,099.56

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Solution

The fourth proportional to 28,674, 39,570.12 and 16,099.56 is: 22,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,674 : 39,570.12 = 16,099.56 : x
  2. Step 2: Convert to fraction form
    28,674/39,570.12 = 16,099.56/x
  3. Step 3: Cross multiply
    28,674x = 39,570.12 × 16,099.56
  4. Step 4: Simplify right side
    28,674x = 637,061,521.15
  5. Step 5: Solve for x
    x = 637,061,521.15/28,674
  6. Step 6: Final answer
    x = 22,217.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.