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Finding the Fourth Proportional to 23,478.14, 35,223.34 and 6,837.81

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Solution

The fourth proportional to 23,478.14, 35,223.34 and 6,837.81 is: 10,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,478.14 : 35,223.34 = 6,837.81 : x
  2. Step 2: Convert to fraction form
    23,478.14/35,223.34 = 6,837.81/x
  3. Step 3: Cross multiply
    23,478.14x = 35,223.34 × 6,837.81
  4. Step 4: Simplify right side
    23,478.14x = 240,850,506.49
  5. Step 5: Solve for x
    x = 240,850,506.49/23,478.14
  6. Step 6: Final answer
    x = 10,258.50

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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.