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Finding the Fourth Proportional to 12,783.88, 19,177.74 and 4,017.96

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Solution

The fourth proportional to 12,783.88, 19,177.74 and 4,017.96 is: 6,027.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.88 : 19,177.74 = 4,017.96 : x
  2. Step 2: Convert to fraction form
    12,783.88/19,177.74 = 4,017.96/x
  3. Step 3: Cross multiply
    12,783.88x = 19,177.74 × 4,017.96
  4. Step 4: Simplify right side
    12,783.88x = 77,055,392.21
  5. Step 5: Solve for x
    x = 77,055,392.21/12,783.88
  6. Step 6: Final answer
    x = 6,027.54

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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.