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Finding the Fourth Proportional to 21,365.82, 32,048.73 and 5,783.45

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Solution

The fourth proportional to 21,365.82, 32,048.73 and 5,783.45 is: 8,675.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,365.82 : 32,048.73 = 5,783.45 : x
  2. Step 2: Convert to fraction form
    21,365.82/32,048.73 = 5,783.45/x
  3. Step 3: Cross multiply
    21,365.82x = 32,048.73 × 5,783.45
  4. Step 4: Simplify right side
    21,365.82x = 185,352,067.27
  5. Step 5: Solve for x
    x = 185,352,067.27/21,365.82
  6. Step 6: Final answer
    x = 8,675.17

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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.