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Finding the Fourth Proportional to 12,783.57, 19,179.98 and 4,464.81

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Solution

The fourth proportional to 12,783.57, 19,179.98 and 4,464.81 is: 6,698.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.57 : 19,179.98 = 4,464.81 : x
  2. Step 2: Convert to fraction form
    12,783.57/19,179.98 = 4,464.81/x
  3. Step 3: Cross multiply
    12,783.57x = 19,179.98 × 4,464.81
  4. Step 4: Simplify right side
    12,783.57x = 85,634,944.18
  5. Step 5: Solve for x
    x = 85,634,944.18/12,783.57
  6. Step 6: Final answer
    x = 6,698.83

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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.