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Finding the Fourth Proportional to 12,678.70, 19,021.16 and 4,358.84

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Solution

The fourth proportional to 12,678.70, 19,021.16 and 4,358.84 is: 6,539.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.70 : 19,021.16 = 4,358.84 : x
  2. Step 2: Convert to fraction form
    12,678.70/19,021.16 = 4,358.84/x
  3. Step 3: Cross multiply
    12,678.70x = 19,021.16 × 4,358.84
  4. Step 4: Simplify right side
    12,678.70x = 82,910,076.15
  5. Step 5: Solve for x
    x = 82,910,076.15/12,678.70
  6. Step 6: Final answer
    x = 6,539.32

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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.