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Finding the Fourth Proportional to 29,784.09, 41,103.01 and 17,208.84

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Solution

The fourth proportional to 29,784.09, 41,103.01 and 17,208.84 is: 23,748.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,784.09 : 41,103.01 = 17,208.84 : x
  2. Step 2: Convert to fraction form
    29,784.09/41,103.01 = 17,208.84/x
  3. Step 3: Cross multiply
    29,784.09x = 41,103.01 × 17,208.84
  4. Step 4: Simplify right side
    29,784.09x = 707,335,122.61
  5. Step 5: Solve for x
    x = 707,335,122.61/29,784.09
  6. Step 6: Final answer
    x = 23,748.76

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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.