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Finding the Fourth Proportional to 12,783.42, 19,178.21 and 4,018.33

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Solution

The fourth proportional to 12,783.42, 19,178.21 and 4,018.33 is: 6,028.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.42 : 19,178.21 = 4,018.33 : x
  2. Step 2: Convert to fraction form
    12,783.42/19,178.21 = 4,018.33/x
  3. Step 3: Cross multiply
    12,783.42x = 19,178.21 × 4,018.33
  4. Step 4: Simplify right side
    12,783.42x = 77,064,308.55
  5. Step 5: Solve for x
    x = 77,064,308.55/12,783.42
  6. Step 6: Final answer
    x = 6,028.46

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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.