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Finding the Fourth Proportional to 14,307.75, 19,745.91 and 8,021.34

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Solution

The fourth proportional to 14,307.75, 19,745.91 and 8,021.34 is: 11,070.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.75 : 19,745.91 = 8,021.34 : x
  2. Step 2: Convert to fraction form
    14,307.75/19,745.91 = 8,021.34/x
  3. Step 3: Cross multiply
    14,307.75x = 19,745.91 × 8,021.34
  4. Step 4: Simplify right side
    14,307.75x = 158,388,657.72
  5. Step 5: Solve for x
    x = 158,388,657.72/14,307.75
  6. Step 6: Final answer
    x = 11,070.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.