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Finding the Fourth Proportional to 19,307.67, 28,963.89 and 6,825.12

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Solution

The fourth proportional to 19,307.67, 28,963.89 and 6,825.12 is: 10,238.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,307.67 : 28,963.89 = 6,825.12 : x
  2. Step 2: Convert to fraction form
    19,307.67/28,963.89 = 6,825.12/x
  3. Step 3: Cross multiply
    19,307.67x = 28,963.89 × 6,825.12
  4. Step 4: Simplify right side
    19,307.67x = 197,682,024.92
  5. Step 5: Solve for x
    x = 197,682,024.92/19,307.67
  6. Step 6: Final answer
    x = 10,238.52

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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.