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Finding the Fourth Proportional to 19,510.68, 29,272.59 and 6,185.85

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Solution

The fourth proportional to 19,510.68, 29,272.59 and 6,185.85 is: 9,280.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,510.68 : 29,272.59 = 6,185.85 : x
  2. Step 2: Convert to fraction form
    19,510.68/29,272.59 = 6,185.85/x
  3. Step 3: Cross multiply
    19,510.68x = 29,272.59 × 6,185.85
  4. Step 4: Simplify right side
    19,510.68x = 181,075,850.85
  5. Step 5: Solve for x
    x = 181,075,850.85/19,510.68
  6. Step 6: Final answer
    x = 9,280.86

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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.