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Finding the Fourth Proportional to 17,877.94, 26,816.92 and 9,119

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Solution

The fourth proportional to 17,877.94, 26,816.92 and 9,119 is: 13,678.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,877.94 : 26,816.92 = 9,119 : x
  2. Step 2: Convert to fraction form
    17,877.94/26,816.92 = 9,119/x
  3. Step 3: Cross multiply
    17,877.94x = 26,816.92 × 9,119
  4. Step 4: Simplify right side
    17,877.94x = 244,543,493.48
  5. Step 5: Solve for x
    x = 244,543,493.48/17,877.94
  6. Step 6: Final answer
    x = 13,678.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.