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Finding the Fourth Proportional to 29,607.14, 40,858.40 and 16,178.96

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Solution

The fourth proportional to 29,607.14, 40,858.40 and 16,178.96 is: 22,327.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,607.14 : 40,858.40 = 16,178.96 : x
  2. Step 2: Convert to fraction form
    29,607.14/40,858.40 = 16,178.96/x
  3. Step 3: Cross multiply
    29,607.14x = 40,858.40 × 16,178.96
  4. Step 4: Simplify right side
    29,607.14x = 661,046,561.86
  5. Step 5: Solve for x
    x = 661,046,561.86/29,607.14
  6. Step 6: Final answer
    x = 22,327.27

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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.