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Finding the Fourth Proportional to 14,032.97, 19,365.78 and 7,745.34

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Solution

The fourth proportional to 14,032.97, 19,365.78 and 7,745.34 is: 10,688.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032.97 : 19,365.78 = 7,745.34 : x
  2. Step 2: Convert to fraction form
    14,032.97/19,365.78 = 7,745.34/x
  3. Step 3: Cross multiply
    14,032.97x = 19,365.78 × 7,745.34
  4. Step 4: Simplify right side
    14,032.97x = 149,994,550.47
  5. Step 5: Solve for x
    x = 149,994,550.47/14,032.97
  6. Step 6: Final answer
    x = 10,688.72

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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.