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Finding the Fourth Proportional to 19,830.36, 29,745.54 and 8,153.40

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Solution

The fourth proportional to 19,830.36, 29,745.54 and 8,153.40 is: 12,230.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830.36 : 29,745.54 = 8,153.40 : x
  2. Step 2: Convert to fraction form
    19,830.36/29,745.54 = 8,153.40/x
  3. Step 3: Cross multiply
    19,830.36x = 29,745.54 × 8,153.40
  4. Step 4: Simplify right side
    19,830.36x = 242,527,285.84
  5. Step 5: Solve for x
    x = 242,527,285.84/19,830.36
  6. Step 6: Final answer
    x = 12,230.10

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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.