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Finding the Fourth Proportional to 25,563.36, 38,342.52 and 8,032.72

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Solution

The fourth proportional to 25,563.36, 38,342.52 and 8,032.72 is: 12,048.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,563.36 : 38,342.52 = 8,032.72 : x
  2. Step 2: Convert to fraction form
    25,563.36/38,342.52 = 8,032.72/x
  3. Step 3: Cross multiply
    25,563.36x = 38,342.52 × 8,032.72
  4. Step 4: Simplify right side
    25,563.36x = 307,994,727.25
  5. Step 5: Solve for x
    x = 307,994,727.25/25,563.36
  6. Step 6: Final answer
    x = 12,048.29

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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.