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Finding the Fourth Proportional to 12,829.50, 19,211.43 and 7,274.58

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Solution

The fourth proportional to 12,829.50, 19,211.43 and 7,274.58 is: 10,893.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829.50 : 19,211.43 = 7,274.58 : x
  2. Step 2: Convert to fraction form
    12,829.50/19,211.43 = 7,274.58/x
  3. Step 3: Cross multiply
    12,829.50x = 19,211.43 × 7,274.58
  4. Step 4: Simplify right side
    12,829.50x = 139,755,084.45
  5. Step 5: Solve for x
    x = 139,755,084.45/12,829.50
  6. Step 6: Final answer
    x = 10,893.26

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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.