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Finding the Fourth Proportional to 19,678.54, 29,511.40 and 6,527.38

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Solution

The fourth proportional to 19,678.54, 29,511.40 and 6,527.38 is: 9,788.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,678.54 : 29,511.40 = 6,527.38 : x
  2. Step 2: Convert to fraction form
    19,678.54/29,511.40 = 6,527.38/x
  3. Step 3: Cross multiply
    19,678.54x = 29,511.40 × 6,527.38
  4. Step 4: Simplify right side
    19,678.54x = 192,632,122.13
  5. Step 5: Solve for x
    x = 192,632,122.13/19,678.54
  6. Step 6: Final answer
    x = 9,788.94

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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.