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Finding the Fourth Proportional to 23,478.84, 35,219.76 and 6,838.92

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Solution

The fourth proportional to 23,478.84, 35,219.76 and 6,838.92 is: 10,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,478.84 : 35,219.76 = 6,838.92 : x
  2. Step 2: Convert to fraction form
    23,478.84/35,219.76 = 6,838.92/x
  3. Step 3: Cross multiply
    23,478.84x = 35,219.76 × 6,838.92
  4. Step 4: Simplify right side
    23,478.84x = 240,865,121.06
  5. Step 5: Solve for x
    x = 240,865,121.06/23,478.84
  6. Step 6: Final answer
    x = 10,258.82

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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.