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Finding the Fourth Proportional to 29,655.84, 40,924.71 and 16,226.96

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Solution

The fourth proportional to 29,655.84, 40,924.71 and 16,226.96 is: 22,393.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,655.84 : 40,924.71 = 16,226.96 : x
  2. Step 2: Convert to fraction form
    29,655.84/40,924.71 = 16,226.96/x
  3. Step 3: Cross multiply
    29,655.84x = 40,924.71 × 16,226.96
  4. Step 4: Simplify right side
    29,655.84x = 664,083,427.56
  5. Step 5: Solve for x
    x = 664,083,427.56/29,655.84
  6. Step 6: Final answer
    x = 22,393.00

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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.