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Finding the Fourth Proportional to 12,783.92, 19,178.52 and 4,018.64

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Solution

The fourth proportional to 12,783.92, 19,178.52 and 4,018.64 is: 6,028.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.92 : 19,178.52 = 4,018.64 : x
  2. Step 2: Convert to fraction form
    12,783.92/19,178.52 = 4,018.64/x
  3. Step 3: Cross multiply
    12,783.92x = 19,178.52 × 4,018.64
  4. Step 4: Simplify right side
    12,783.92x = 77,071,567.61
  5. Step 5: Solve for x
    x = 77,071,567.61/12,783.92
  6. Step 6: Final answer
    x = 6,028.79

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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.