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Finding the Fourth Proportional to 17,866, 26,798.82 and 7,341.76

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Solution

The fourth proportional to 17,866, 26,798.82 and 7,341.76 is: 11,012.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,866 : 26,798.82 = 7,341.76 : x
  2. Step 2: Convert to fraction form
    17,866/26,798.82 = 7,341.76/x
  3. Step 3: Cross multiply
    17,866x = 26,798.82 × 7,341.76
  4. Step 4: Simplify right side
    17,866x = 196,750,504.72
  5. Step 5: Solve for x
    x = 196,750,504.72/17,866
  6. Step 6: Final answer
    x = 11,012.57

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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.