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Finding the Fourth Proportional to 18,037, 24,893.22 and 10,585

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Solution

The fourth proportional to 18,037, 24,893.22 and 10,585 is: 14,608.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,037 : 24,893.22 = 10,585 : x
  2. Step 2: Convert to fraction form
    18,037/24,893.22 = 10,585/x
  3. Step 3: Cross multiply
    18,037x = 24,893.22 × 10,585
  4. Step 4: Simplify right side
    18,037x = 263,494,733.70
  5. Step 5: Solve for x
    x = 263,494,733.70/18,037
  6. Step 6: Final answer
    x = 14,608.57

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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.