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Finding the Fourth Proportional to 29,607.84, 40,858.34 and 16,178.82

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Solution

The fourth proportional to 29,607.84, 40,858.34 and 16,178.82 is: 22,326.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,607.84 : 40,858.34 = 16,178.82 : x
  2. Step 2: Convert to fraction form
    29,607.84/40,858.34 = 16,178.82/x
  3. Step 3: Cross multiply
    29,607.84x = 40,858.34 × 16,178.82
  4. Step 4: Simplify right side
    29,607.84x = 661,039,728.36
  5. Step 5: Solve for x
    x = 661,039,728.36/29,607.84
  6. Step 6: Final answer
    x = 22,326.51

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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.