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Finding the Fourth Proportional to 17,406.78, 26,075.05 and 8,033.77

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Solution

The fourth proportional to 17,406.78, 26,075.05 and 8,033.77 is: 12,034.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406.78 : 26,075.05 = 8,033.77 : x
  2. Step 2: Convert to fraction form
    17,406.78/26,075.05 = 8,033.77/x
  3. Step 3: Cross multiply
    17,406.78x = 26,075.05 × 8,033.77
  4. Step 4: Simplify right side
    17,406.78x = 209,480,954.44
  5. Step 5: Solve for x
    x = 209,480,954.44/17,406.78
  6. Step 6: Final answer
    x = 12,034.45

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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.