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Finding the Fourth Proportional to 19,190, 28,738.56 and 9,304.80

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Solution

The fourth proportional to 19,190, 28,738.56 and 9,304.80 is: 13,934.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,190 : 28,738.56 = 9,304.80 : x
  2. Step 2: Convert to fraction form
    19,190/28,738.56 = 9,304.80/x
  3. Step 3: Cross multiply
    19,190x = 28,738.56 × 9,304.80
  4. Step 4: Simplify right side
    19,190x = 267,406,553.09
  5. Step 5: Solve for x
    x = 267,406,553.09/19,190
  6. Step 6: Final answer
    x = 13,934.68

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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.