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Finding the Fourth Proportional to 22,263.40, 30,725 and 12,832.60

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Solution

The fourth proportional to 22,263.40, 30,725 and 12,832.60 is: 17,709.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,263.40 : 30,725 = 12,832.60 : x
  2. Step 2: Convert to fraction form
    22,263.40/30,725 = 12,832.60/x
  3. Step 3: Cross multiply
    22,263.40x = 30,725 × 12,832.60
  4. Step 4: Simplify right side
    22,263.40x = 394,281,635
  5. Step 5: Solve for x
    x = 394,281,635/22,263.40
  6. Step 6: Final answer
    x = 17,709.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.