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Finding the Fourth Proportional to 20,704.60, 31,058.10 and 5,914.60

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Solution

The fourth proportional to 20,704.60, 31,058.10 and 5,914.60 is: 8,872.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,704.60 : 31,058.10 = 5,914.60 : x
  2. Step 2: Convert to fraction form
    20,704.60/31,058.10 = 5,914.60/x
  3. Step 3: Cross multiply
    20,704.60x = 31,058.10 × 5,914.60
  4. Step 4: Simplify right side
    20,704.60x = 183,696,238.26
  5. Step 5: Solve for x
    x = 183,696,238.26/20,704.60
  6. Step 6: Final answer
    x = 8,872.24

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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.