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Finding the Fourth Proportional to 19,538.69, 29,296.22 and 7,678.26

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Solution

The fourth proportional to 19,538.69, 29,296.22 and 7,678.26 is: 11,512.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,538.69 : 29,296.22 = 7,678.26 : x
  2. Step 2: Convert to fraction form
    19,538.69/29,296.22 = 7,678.26/x
  3. Step 3: Cross multiply
    19,538.69x = 29,296.22 × 7,678.26
  4. Step 4: Simplify right side
    19,538.69x = 224,943,955.79
  5. Step 5: Solve for x
    x = 224,943,955.79/19,538.69
  6. Step 6: Final answer
    x = 11,512.75

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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.