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Finding the Fourth Proportional to 29,830.93, 41,166.70 and 16,403.09

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Solution

The fourth proportional to 29,830.93, 41,166.70 and 16,403.09 is: 22,636.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,830.93 : 41,166.70 = 16,403.09 : x
  2. Step 2: Convert to fraction form
    29,830.93/41,166.70 = 16,403.09/x
  3. Step 3: Cross multiply
    29,830.93x = 41,166.70 × 16,403.09
  4. Step 4: Simplify right side
    29,830.93x = 675,260,838.26
  5. Step 5: Solve for x
    x = 675,260,838.26/29,830.93
  6. Step 6: Final answer
    x = 22,636.27

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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.