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Finding the Fourth Proportional to 19,768.98, 29,657.45 and 7,289.07

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Solution

The fourth proportional to 19,768.98, 29,657.45 and 7,289.07 is: 10,935.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,768.98 : 29,657.45 = 7,289.07 : x
  2. Step 2: Convert to fraction form
    19,768.98/29,657.45 = 7,289.07/x
  3. Step 3: Cross multiply
    19,768.98x = 29,657.45 × 7,289.07
  4. Step 4: Simplify right side
    19,768.98x = 216,175,229.07
  5. Step 5: Solve for x
    x = 216,175,229.07/19,768.98
  6. Step 6: Final answer
    x = 10,935.07

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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.