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Finding the Fourth Proportional to 25,922.70, 38,894.96 and 15,412.79

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Solution

The fourth proportional to 25,922.70, 38,894.96 and 15,412.79 is: 23,125.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,922.70 : 38,894.96 = 15,412.79 : x
  2. Step 2: Convert to fraction form
    25,922.70/38,894.96 = 15,412.79/x
  3. Step 3: Cross multiply
    25,922.70x = 38,894.96 × 15,412.79
  4. Step 4: Simplify right side
    25,922.70x = 599,479,986.31
  5. Step 5: Solve for x
    x = 599,479,986.31/25,922.70
  6. Step 6: Final answer
    x = 23,125.68

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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.