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Finding the Fourth Proportional to 29,431.86, 40,615.08 and 16,003.14

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Solution

The fourth proportional to 29,431.86, 40,615.08 and 16,003.14 is: 22,083.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,431.86 : 40,615.08 = 16,003.14 : x
  2. Step 2: Convert to fraction form
    29,431.86/40,615.08 = 16,003.14/x
  3. Step 3: Cross multiply
    29,431.86x = 40,615.08 × 16,003.14
  4. Step 4: Simplify right side
    29,431.86x = 649,968,811.35
  5. Step 5: Solve for x
    x = 649,968,811.35/29,431.86
  6. Step 6: Final answer
    x = 22,083.85

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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.