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Finding the Fourth Proportional to 12,678.73, 19,019.00 and 3,912.50

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Solution

The fourth proportional to 12,678.73, 19,019.00 and 3,912.50 is: 5,869.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.73 : 19,019.00 = 3,912.50 : x
  2. Step 2: Convert to fraction form
    12,678.73/19,019.00 = 3,912.50/x
  3. Step 3: Cross multiply
    12,678.73x = 19,019.00 × 3,912.50
  4. Step 4: Simplify right side
    12,678.73x = 74,411,894.83
  5. Step 5: Solve for x
    x = 74,411,894.83/12,678.73
  6. Step 6: Final answer
    x = 5,869.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.