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Finding the Fourth Proportional to 25,344.96, 38,024.73 and 12,864.48

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Solution

The fourth proportional to 25,344.96, 38,024.73 and 12,864.48 is: 19,300.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,344.96 : 38,024.73 = 12,864.48 : x
  2. Step 2: Convert to fraction form
    25,344.96/38,024.73 = 12,864.48/x
  3. Step 3: Cross multiply
    25,344.96x = 38,024.73 × 12,864.48
  4. Step 4: Simplify right side
    25,344.96x = 489,168,378.59
  5. Step 5: Solve for x
    x = 489,168,378.59/25,344.96
  6. Step 6: Final answer
    x = 19,300.42

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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.