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Finding the Fourth Proportional to 25,143.84, 37,680 and 18,517.92

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Solution

The fourth proportional to 25,143.84, 37,680 and 18,517.92 is: 27,750.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,143.84 : 37,680 = 18,517.92 : x
  2. Step 2: Convert to fraction form
    25,143.84/37,680 = 18,517.92/x
  3. Step 3: Cross multiply
    25,143.84x = 37,680 × 18,517.92
  4. Step 4: Simplify right side
    25,143.84x = 697,755,225.60
  5. Step 5: Solve for x
    x = 697,755,225.60/25,143.84
  6. Step 6: Final answer
    x = 27,750.54

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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.