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Finding the Fourth Proportional to 26,075.26, 39,115.95 and 9,443.14

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Solution

The fourth proportional to 26,075.26, 39,115.95 and 9,443.14 is: 14,165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,075.26 : 39,115.95 = 9,443.14 : x
  2. Step 2: Convert to fraction form
    26,075.26/39,115.95 = 9,443.14/x
  3. Step 3: Cross multiply
    26,075.26x = 39,115.95 × 9,443.14
  4. Step 4: Simplify right side
    26,075.26x = 369,377,392.08
  5. Step 5: Solve for x
    x = 369,377,392.08/26,075.26
  6. Step 6: Final answer
    x = 14,165.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.