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Finding the Fourth Proportional to 14,024.47, 19,352.42 and 7,736.44

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Solution

The fourth proportional to 14,024.47, 19,352.42 and 7,736.44 is: 10,675.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,024.47 : 19,352.42 = 7,736.44 : x
  2. Step 2: Convert to fraction form
    14,024.47/19,352.42 = 7,736.44/x
  3. Step 3: Cross multiply
    14,024.47x = 19,352.42 × 7,736.44
  4. Step 4: Simplify right side
    14,024.47x = 149,718,768.46
  5. Step 5: Solve for x
    x = 149,718,768.46/14,024.47
  6. Step 6: Final answer
    x = 10,675.54

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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.