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Finding the Fourth Proportional to 19,804.38, 29,706.95 and 7,317.96

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Solution

The fourth proportional to 19,804.38, 29,706.95 and 7,317.96 is: 10,977.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,804.38 : 29,706.95 = 7,317.96 : x
  2. Step 2: Convert to fraction form
    19,804.38/29,706.95 = 7,317.96/x
  3. Step 3: Cross multiply
    19,804.38x = 29,706.95 × 7,317.96
  4. Step 4: Simplify right side
    19,804.38x = 217,394,271.82
  5. Step 5: Solve for x
    x = 217,394,271.82/19,804.38
  6. Step 6: Final answer
    x = 10,977.08

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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.