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Finding the Fourth Proportional to 25,772.82, 38,662.50 and 9,129.60

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Solution

The fourth proportional to 25,772.82, 38,662.50 and 9,129.60 is: 13,695.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,772.82 : 38,662.50 = 9,129.60 : x
  2. Step 2: Convert to fraction form
    25,772.82/38,662.50 = 9,129.60/x
  3. Step 3: Cross multiply
    25,772.82x = 38,662.50 × 9,129.60
  4. Step 4: Simplify right side
    25,772.82x = 352,973,160
  5. Step 5: Solve for x
    x = 352,973,160/25,772.82
  6. Step 6: Final answer
    x = 13,695.56

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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.