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Finding the Fourth Proportional to 26,042, 39,069.66 and 7,574

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Solution

The fourth proportional to 26,042, 39,069.66 and 7,574 is: 11,362.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,042 : 39,069.66 = 7,574 : x
  2. Step 2: Convert to fraction form
    26,042/39,069.66 = 7,574/x
  3. Step 3: Cross multiply
    26,042x = 39,069.66 × 7,574
  4. Step 4: Simplify right side
    26,042x = 295,913,604.84
  5. Step 5: Solve for x
    x = 295,913,604.84/26,042
  6. Step 6: Final answer
    x = 11,362.94

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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.