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Finding the Fourth Proportional to 11,834.98, 17,764.73 and 8,718.50

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Solution

The fourth proportional to 11,834.98, 17,764.73 and 8,718.50 is: 13,086.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,834.98 : 17,764.73 = 8,718.50 : x
  2. Step 2: Convert to fraction form
    11,834.98/17,764.73 = 8,718.50/x
  3. Step 3: Cross multiply
    11,834.98x = 17,764.73 × 8,718.50
  4. Step 4: Simplify right side
    11,834.98x = 154,881,798.51
  5. Step 5: Solve for x
    x = 154,881,798.51/11,834.98
  6. Step 6: Final answer
    x = 13,086.78

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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.