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Finding the Fourth Proportional to 19,138.41, 28,709.06 and 5,098.38

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Solution

The fourth proportional to 19,138.41, 28,709.06 and 5,098.38 is: 7,647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,138.41 : 28,709.06 = 5,098.38 : x
  2. Step 2: Convert to fraction form
    19,138.41/28,709.06 = 5,098.38/x
  3. Step 3: Cross multiply
    19,138.41x = 28,709.06 × 5,098.38
  4. Step 4: Simplify right side
    19,138.41x = 146,369,671.83
  5. Step 5: Solve for x
    x = 146,369,671.83/19,138.41
  6. Step 6: Final answer
    x = 7,647.95

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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.