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Finding the Fourth Proportional to 19,684.36, 29,526.41 and 7,205.25

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Solution

The fourth proportional to 19,684.36, 29,526.41 and 7,205.25 is: 10,807.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684.36 : 29,526.41 = 7,205.25 : x
  2. Step 2: Convert to fraction form
    19,684.36/29,526.41 = 7,205.25/x
  3. Step 3: Cross multiply
    19,684.36x = 29,526.41 × 7,205.25
  4. Step 4: Simplify right side
    19,684.36x = 212,745,165.65
  5. Step 5: Solve for x
    x = 212,745,165.65/19,684.36
  6. Step 6: Final answer
    x = 10,807.83

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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.