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Finding the Fourth Proportional to 19,183.67, 28,802.42 and 9,830.40

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Solution

The fourth proportional to 19,183.67, 28,802.42 and 9,830.40 is: 14,759.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,183.67 : 28,802.42 = 9,830.40 : x
  2. Step 2: Convert to fraction form
    19,183.67/28,802.42 = 9,830.40/x
  3. Step 3: Cross multiply
    19,183.67x = 28,802.42 × 9,830.40
  4. Step 4: Simplify right side
    19,183.67x = 283,139,260.42
  5. Step 5: Solve for x
    x = 283,139,260.42/19,183.67
  6. Step 6: Final answer
    x = 14,759.39

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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.