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Finding the Fourth Proportional to 23,473.32, 35,188.06 and 7,880

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Solution

The fourth proportional to 23,473.32, 35,188.06 and 7,880 is: 11,812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,473.32 : 35,188.06 = 7,880 : x
  2. Step 2: Convert to fraction form
    23,473.32/35,188.06 = 7,880/x
  3. Step 3: Cross multiply
    23,473.32x = 35,188.06 × 7,880
  4. Step 4: Simplify right side
    23,473.32x = 277,281,912.80
  5. Step 5: Solve for x
    x = 277,281,912.80/23,473.32
  6. Step 6: Final answer
    x = 11,812.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.