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Finding the Fourth Proportional to 16,577.38, 22,877.81 and 9,504.87

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Solution

The fourth proportional to 16,577.38, 22,877.81 and 9,504.87 is: 13,117.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,577.38 : 22,877.81 = 9,504.87 : x
  2. Step 2: Convert to fraction form
    16,577.38/22,877.81 = 9,504.87/x
  3. Step 3: Cross multiply
    16,577.38x = 22,877.81 × 9,504.87
  4. Step 4: Simplify right side
    16,577.38x = 217,450,609.93
  5. Step 5: Solve for x
    x = 217,450,609.93/16,577.38
  6. Step 6: Final answer
    x = 13,117.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.