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Finding the Fourth Proportional to 17,084.40, 25,573.26 and 12,586.53

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Solution

The fourth proportional to 17,084.40, 25,573.26 and 12,586.53 is: 18,840.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,084.40 : 25,573.26 = 12,586.53 : x
  2. Step 2: Convert to fraction form
    17,084.40/25,573.26 = 12,586.53/x
  3. Step 3: Cross multiply
    17,084.40x = 25,573.26 × 12,586.53
  4. Step 4: Simplify right side
    17,084.40x = 321,878,604.19
  5. Step 5: Solve for x
    x = 321,878,604.19/17,084.40
  6. Step 6: Final answer
    x = 18,840.50

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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.