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Finding the Fourth Proportional to 18,417, 27,592.74 and 10,609.68

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Solution

The fourth proportional to 18,417, 27,592.74 and 10,609.68 is: 15,895.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,417 : 27,592.74 = 10,609.68 : x
  2. Step 2: Convert to fraction form
    18,417/27,592.74 = 10,609.68/x
  3. Step 3: Cross multiply
    18,417x = 27,592.74 × 10,609.68
  4. Step 4: Simplify right side
    18,417x = 292,750,141.72
  5. Step 5: Solve for x
    x = 292,750,141.72/18,417
  6. Step 6: Final answer
    x = 15,895.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.