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Finding the Fourth Proportional to 19,082.07, 28,627.35 and 7,837.40

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Solution

The fourth proportional to 19,082.07, 28,627.35 and 7,837.40 is: 11,757.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,082.07 : 28,627.35 = 7,837.40 : x
  2. Step 2: Convert to fraction form
    19,082.07/28,627.35 = 7,837.40/x
  3. Step 3: Cross multiply
    19,082.07x = 28,627.35 × 7,837.40
  4. Step 4: Simplify right side
    19,082.07x = 224,363,849.75
  5. Step 5: Solve for x
    x = 224,363,849.75/19,082.07
  6. Step 6: Final answer
    x = 11,757.84

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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.