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Finding the Fourth Proportional to 23,254.50, 34,878 and 6,383.57

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Solution

The fourth proportional to 23,254.50, 34,878 and 6,383.57 is: 9,574.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,254.50 : 34,878 = 6,383.57 : x
  2. Step 2: Convert to fraction form
    23,254.50/34,878 = 6,383.57/x
  3. Step 3: Cross multiply
    23,254.50x = 34,878 × 6,383.57
  4. Step 4: Simplify right side
    23,254.50x = 222,645,980.07
  5. Step 5: Solve for x
    x = 222,645,980.07/23,254.50
  6. Step 6: Final answer
    x = 9,574.32

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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.