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Finding the Fourth Proportional to 23,303, 32,161.04 and 13,234.70

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Solution

The fourth proportional to 23,303, 32,161.04 and 13,234.70 is: 18,265.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,303 : 32,161.04 = 13,234.70 : x
  2. Step 2: Convert to fraction form
    23,303/32,161.04 = 13,234.70/x
  3. Step 3: Cross multiply
    23,303x = 32,161.04 × 13,234.70
  4. Step 4: Simplify right side
    23,303x = 425,641,716.09
  5. Step 5: Solve for x
    x = 425,641,716.09/23,303
  6. Step 6: Final answer
    x = 18,265.53

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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.