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Finding the Fourth Proportional to 23,574.74, 35,384.31 and 8,596.34

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Solution

The fourth proportional to 23,574.74, 35,384.31 and 8,596.34 is: 12,902.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,574.74 : 35,384.31 = 8,596.34 : x
  2. Step 2: Convert to fraction form
    23,574.74/35,384.31 = 8,596.34/x
  3. Step 3: Cross multiply
    23,574.74x = 35,384.31 × 8,596.34
  4. Step 4: Simplify right side
    23,574.74x = 304,175,382.50
  5. Step 5: Solve for x
    x = 304,175,382.50/23,574.74
  6. Step 6: Final answer
    x = 12,902.60

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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.