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Finding the Fourth Proportional to 12,706.94, 19,056.37 and 11,877.72

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Solution

The fourth proportional to 12,706.94, 19,056.37 and 11,877.72 is: 17,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.94 : 19,056.37 = 11,877.72 : x
  2. Step 2: Convert to fraction form
    12,706.94/19,056.37 = 11,877.72/x
  3. Step 3: Cross multiply
    12,706.94x = 19,056.37 × 11,877.72
  4. Step 4: Simplify right side
    12,706.94x = 226,346,227.08
  5. Step 5: Solve for x
    x = 226,346,227.08/12,706.94
  6. Step 6: Final answer
    x = 17,812.80

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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.