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Finding the Fourth Proportional to 13,307.90, 19,974.20 and 6,738.74

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Solution

The fourth proportional to 13,307.90, 19,974.20 and 6,738.74 is: 10,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,307.90 : 19,974.20 = 6,738.74 : x
  2. Step 2: Convert to fraction form
    13,307.90/19,974.20 = 6,738.74/x
  3. Step 3: Cross multiply
    13,307.90x = 19,974.20 × 6,738.74
  4. Step 4: Simplify right side
    13,307.90x = 134,600,940.51
  5. Step 5: Solve for x
    x = 134,600,940.51/13,307.90
  6. Step 6: Final answer
    x = 10,114.36

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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.