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Finding the Fourth Proportional to 29,784.76, 41,100.06 and 17,209.24

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Solution

The fourth proportional to 29,784.76, 41,100.06 and 17,209.24 is: 23,747.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,784.76 : 41,100.06 = 17,209.24 : x
  2. Step 2: Convert to fraction form
    29,784.76/41,100.06 = 17,209.24/x
  3. Step 3: Cross multiply
    29,784.76x = 41,100.06 × 17,209.24
  4. Step 4: Simplify right side
    29,784.76x = 707,300,796.55
  5. Step 5: Solve for x
    x = 707,300,796.55/29,784.76
  6. Step 6: Final answer
    x = 23,747.07

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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.