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Finding the Fourth Proportional to 12,706.03, 19,017.64 and 11,493.55

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Solution

The fourth proportional to 12,706.03, 19,017.64 and 11,493.55 is: 17,202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.03 : 19,017.64 = 11,493.55 : x
  2. Step 2: Convert to fraction form
    12,706.03/19,017.64 = 11,493.55/x
  3. Step 3: Cross multiply
    12,706.03x = 19,017.64 × 11,493.55
  4. Step 4: Simplify right side
    12,706.03x = 218,580,196.22
  5. Step 5: Solve for x
    x = 218,580,196.22/12,706.03
  6. Step 6: Final answer
    x = 17,202.87

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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.