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Finding the Fourth Proportional to 12,693.84, 19,044 and 8,046.87

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Solution

The fourth proportional to 12,693.84, 19,044 and 8,046.87 is: 12,072.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,693.84 : 19,044 = 8,046.87 : x
  2. Step 2: Convert to fraction form
    12,693.84/19,044 = 8,046.87/x
  3. Step 3: Cross multiply
    12,693.84x = 19,044 × 8,046.87
  4. Step 4: Simplify right side
    12,693.84x = 153,244,592.28
  5. Step 5: Solve for x
    x = 153,244,592.28/12,693.84
  6. Step 6: Final answer
    x = 12,072.36

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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.