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Finding the Fourth Proportional to 29,830.86, 41,166.62 and 16,402.34

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Solution

The fourth proportional to 29,830.86, 41,166.62 and 16,402.34 is: 22,635.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,830.86 : 41,166.62 = 16,402.34 : x
  2. Step 2: Convert to fraction form
    29,830.86/41,166.62 = 16,402.34/x
  3. Step 3: Cross multiply
    29,830.86x = 41,166.62 × 16,402.34
  4. Step 4: Simplify right side
    29,830.86x = 675,228,897.89
  5. Step 5: Solve for x
    x = 675,228,897.89/29,830.86
  6. Step 6: Final answer
    x = 22,635.25

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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.