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Finding the Fourth Proportional to 12,678.88, 19,023.78 and 4,893.16

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Solution

The fourth proportional to 12,678.88, 19,023.78 and 4,893.16 is: 7,341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.88 : 19,023.78 = 4,893.16 : x
  2. Step 2: Convert to fraction form
    12,678.88/19,023.78 = 4,893.16/x
  3. Step 3: Cross multiply
    12,678.88x = 19,023.78 × 4,893.16
  4. Step 4: Simplify right side
    12,678.88x = 93,086,399.34
  5. Step 5: Solve for x
    x = 93,086,399.34/12,678.88
  6. Step 6: Final answer
    x = 7,341.85

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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.