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Finding the Fourth Proportional to 19,282.13, 28,923.20 and 5,431.13

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Solution

The fourth proportional to 19,282.13, 28,923.20 and 5,431.13 is: 8,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,282.13 : 28,923.20 = 5,431.13 : x
  2. Step 2: Convert to fraction form
    19,282.13/28,923.20 = 5,431.13/x
  3. Step 3: Cross multiply
    19,282.13x = 28,923.20 × 5,431.13
  4. Step 4: Simplify right side
    19,282.13x = 157,085,659.22
  5. Step 5: Solve for x
    x = 157,085,659.22/19,282.13
  6. Step 6: Final answer
    x = 8,146.70

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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.