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Finding the Fourth Proportional to 27,703.68, 41,486.40 and 17,283.84

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Solution

The fourth proportional to 27,703.68, 41,486.40 and 17,283.84 is: 25,882.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,703.68 : 41,486.40 = 17,283.84 : x
  2. Step 2: Convert to fraction form
    27,703.68/41,486.40 = 17,283.84/x
  3. Step 3: Cross multiply
    27,703.68x = 41,486.40 × 17,283.84
  4. Step 4: Simplify right side
    27,703.68x = 717,044,299.78
  5. Step 5: Solve for x
    x = 717,044,299.78/27,703.68
  6. Step 6: Final answer
    x = 25,882.64

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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.