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Finding the Fourth Proportional to 12,706.41, 19,056 and 8,019.41

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Solution

The fourth proportional to 12,706.41, 19,056 and 8,019.41 is: 12,026.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.41 : 19,056 = 8,019.41 : x
  2. Step 2: Convert to fraction form
    12,706.41/19,056 = 8,019.41/x
  3. Step 3: Cross multiply
    12,706.41x = 19,056 × 8,019.41
  4. Step 4: Simplify right side
    12,706.41x = 152,817,781.68
  5. Step 5: Solve for x
    x = 152,817,781.68/12,706.41
  6. Step 6: Final answer
    x = 12,026.83

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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.