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Finding the Fourth Proportional to 29,794.86, 41,106.82 and 17,038.95

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Solution

The fourth proportional to 29,794.86, 41,106.82 and 17,038.95 is: 23,507.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,794.86 : 41,106.82 = 17,038.95 : x
  2. Step 2: Convert to fraction form
    29,794.86/41,106.82 = 17,038.95/x
  3. Step 3: Cross multiply
    29,794.86x = 41,106.82 × 17,038.95
  4. Step 4: Simplify right side
    29,794.86x = 700,416,965.44
  5. Step 5: Solve for x
    x = 700,416,965.44/29,794.86
  6. Step 6: Final answer
    x = 23,507.98

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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.