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Finding the Fourth Proportional to 23,053.25, 34,583.34 and 8,258.65

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Solution

The fourth proportional to 23,053.25, 34,583.34 and 8,258.65 is: 12,389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,053.25 : 34,583.34 = 8,258.65 : x
  2. Step 2: Convert to fraction form
    23,053.25/34,583.34 = 8,258.65/x
  3. Step 3: Cross multiply
    23,053.25x = 34,583.34 × 8,258.65
  4. Step 4: Simplify right side
    23,053.25x = 285,611,700.89
  5. Step 5: Solve for x
    x = 285,611,700.89/23,053.25
  6. Step 6: Final answer
    x = 12,389.22

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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.