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Finding the Fourth Proportional to 13,103.78, 19,658.62 and 4,783.83

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Solution

The fourth proportional to 13,103.78, 19,658.62 and 4,783.83 is: 7,176.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103.78 : 19,658.62 = 4,783.83 : x
  2. Step 2: Convert to fraction form
    13,103.78/19,658.62 = 4,783.83/x
  3. Step 3: Cross multiply
    13,103.78x = 19,658.62 × 4,783.83
  4. Step 4: Simplify right side
    13,103.78x = 94,043,607.70
  5. Step 5: Solve for x
    x = 94,043,607.70/13,103.78
  6. Step 6: Final answer
    x = 7,176.83

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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.