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Finding the Fourth Proportional to 17,364, 23,962.80 and 10,645.76

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Solution

The fourth proportional to 17,364, 23,962.80 and 10,645.76 is: 14,691.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,364 : 23,962.80 = 10,645.76 : x
  2. Step 2: Convert to fraction form
    17,364/23,962.80 = 10,645.76/x
  3. Step 3: Cross multiply
    17,364x = 23,962.80 × 10,645.76
  4. Step 4: Simplify right side
    17,364x = 255,102,217.73
  5. Step 5: Solve for x
    x = 255,102,217.73/17,364
  6. Step 6: Final answer
    x = 14,691.44

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