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Finding the Fourth Proportional to 12,783.68, 19,174.26 and 4,018.36

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Solution

The fourth proportional to 12,783.68, 19,174.26 and 4,018.36 is: 6,027.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.68 : 19,174.26 = 4,018.36 : x
  2. Step 2: Convert to fraction form
    12,783.68/19,174.26 = 4,018.36/x
  3. Step 3: Cross multiply
    12,783.68x = 19,174.26 × 4,018.36
  4. Step 4: Simplify right side
    12,783.68x = 77,049,079.41
  5. Step 5: Solve for x
    x = 77,049,079.41/12,783.68
  6. Step 6: Final answer
    x = 6,027.14

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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.