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Finding the Fourth Proportional to 25,725.35, 38,584.05 and 9,928.08

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Solution

The fourth proportional to 25,725.35, 38,584.05 and 9,928.08 is: 14,890.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,725.35 : 38,584.05 = 9,928.08 : x
  2. Step 2: Convert to fraction form
    25,725.35/38,584.05 = 9,928.08/x
  3. Step 3: Cross multiply
    25,725.35x = 38,584.05 × 9,928.08
  4. Step 4: Simplify right side
    25,725.35x = 383,065,497.89
  5. Step 5: Solve for x
    x = 383,065,497.89/25,725.35
  6. Step 6: Final answer
    x = 14,890.58

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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.