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Finding the Fourth Proportional to 17,953.80, 26,927.10 and 6,852.84

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Solution

The fourth proportional to 17,953.80, 26,927.10 and 6,852.84 is: 10,277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,953.80 : 26,927.10 = 6,852.84 : x
  2. Step 2: Convert to fraction form
    17,953.80/26,927.10 = 6,852.84/x
  3. Step 3: Cross multiply
    17,953.80x = 26,927.10 × 6,852.84
  4. Step 4: Simplify right side
    17,953.80x = 184,527,107.96
  5. Step 5: Solve for x
    x = 184,527,107.96/17,953.80
  6. Step 6: Final answer
    x = 10,277.89

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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.