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Finding the Fourth Proportional to 16,577.39, 22,871.02 and 9,406.46

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Solution

The fourth proportional to 16,577.39, 22,871.02 and 9,406.46 is: 12,977.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,577.39 : 22,871.02 = 9,406.46 : x
  2. Step 2: Convert to fraction form
    16,577.39/22,871.02 = 9,406.46/x
  3. Step 3: Cross multiply
    16,577.39x = 22,871.02 × 9,406.46
  4. Step 4: Simplify right side
    16,577.39x = 215,135,334.79
  5. Step 5: Solve for x
    x = 215,135,334.79/16,577.39
  6. Step 6: Final answer
    x = 12,977.64

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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.