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Finding the Fourth Proportional to 20,031.36, 30,056.42 and 8,936.88

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Solution

The fourth proportional to 20,031.36, 30,056.42 and 8,936.88 is: 13,409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,031.36 : 30,056.42 = 8,936.88 : x
  2. Step 2: Convert to fraction form
    20,031.36/30,056.42 = 8,936.88/x
  3. Step 3: Cross multiply
    20,031.36x = 30,056.42 × 8,936.88
  4. Step 4: Simplify right side
    20,031.36x = 268,610,618.77
  5. Step 5: Solve for x
    x = 268,610,618.77/20,031.36
  6. Step 6: Final answer
    x = 13,409.50

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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.