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Finding the Fourth Proportional to 17,869.50, 24,661.02 and 10,317.21

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Solution

The fourth proportional to 17,869.50, 24,661.02 and 10,317.21 is: 14,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,869.50 : 24,661.02 = 10,317.21 : x
  2. Step 2: Convert to fraction form
    17,869.50/24,661.02 = 10,317.21/x
  3. Step 3: Cross multiply
    17,869.50x = 24,661.02 × 10,317.21
  4. Step 4: Simplify right side
    17,869.50x = 254,432,922.15
  5. Step 5: Solve for x
    x = 254,432,922.15/17,869.50
  6. Step 6: Final answer
    x = 14,238.39

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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.