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Finding the Fourth Proportional to 19,189.71, 28,792.54 and 9,189.42

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Solution

The fourth proportional to 19,189.71, 28,792.54 and 9,189.42 is: 13,787.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,189.71 : 28,792.54 = 9,189.42 : x
  2. Step 2: Convert to fraction form
    19,189.71/28,792.54 = 9,189.42/x
  3. Step 3: Cross multiply
    19,189.71x = 28,792.54 × 9,189.42
  4. Step 4: Simplify right side
    19,189.71x = 264,586,863.53
  5. Step 5: Solve for x
    x = 264,586,863.53/19,189.71
  6. Step 6: Final answer
    x = 13,787.96

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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.