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Finding the Fourth Proportional to 18,766, 25,897.08 and 10,383.76

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Solution

The fourth proportional to 18,766, 25,897.08 and 10,383.76 is: 14,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,766 : 25,897.08 = 10,383.76 : x
  2. Step 2: Convert to fraction form
    18,766/25,897.08 = 10,383.76/x
  3. Step 3: Cross multiply
    18,766x = 25,897.08 × 10,383.76
  4. Step 4: Simplify right side
    18,766x = 268,909,063.42
  5. Step 5: Solve for x
    x = 268,909,063.42/18,766
  6. Step 6: Final answer
    x = 14,329.59

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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.