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Finding the Fourth Proportional to 26,141.69, 36,075.70 and 14,205.02

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Solution

The fourth proportional to 26,141.69, 36,075.70 and 14,205.02 is: 19,603.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,141.69 : 36,075.70 = 14,205.02 : x
  2. Step 2: Convert to fraction form
    26,141.69/36,075.70 = 14,205.02/x
  3. Step 3: Cross multiply
    26,141.69x = 36,075.70 × 14,205.02
  4. Step 4: Simplify right side
    26,141.69x = 512,456,040.01
  5. Step 5: Solve for x
    x = 512,456,040.01/26,141.69
  6. Step 6: Final answer
    x = 19,603.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.