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Finding the Fourth Proportional to 19,382.98, 29,075.06 and 5,343.24

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Solution

The fourth proportional to 19,382.98, 29,075.06 and 5,343.24 is: 8,015.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,382.98 : 29,075.06 = 5,343.24 : x
  2. Step 2: Convert to fraction form
    19,382.98/29,075.06 = 5,343.24/x
  3. Step 3: Cross multiply
    19,382.98x = 29,075.06 × 5,343.24
  4. Step 4: Simplify right side
    19,382.98x = 155,355,023.59
  5. Step 5: Solve for x
    x = 155,355,023.59/19,382.98
  6. Step 6: Final answer
    x = 8,015.02

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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.