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Finding the Fourth Proportional to 25,928.50, 38,905.45 and 9,289.82

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Solution

The fourth proportional to 25,928.50, 38,905.45 and 9,289.82 is: 13,939.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,928.50 : 38,905.45 = 9,289.82 : x
  2. Step 2: Convert to fraction form
    25,928.50/38,905.45 = 9,289.82/x
  3. Step 3: Cross multiply
    25,928.50x = 38,905.45 × 9,289.82
  4. Step 4: Simplify right side
    25,928.50x = 361,424,409.77
  5. Step 5: Solve for x
    x = 361,424,409.77/25,928.50
  6. Step 6: Final answer
    x = 13,939.27

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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.