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Finding the Fourth Proportional to 14,627, 20,188.50 and 10,096.04

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Solution

The fourth proportional to 14,627, 20,188.50 and 10,096.04 is: 13,934.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,627 : 20,188.50 = 10,096.04 : x
  2. Step 2: Convert to fraction form
    14,627/20,188.50 = 10,096.04/x
  3. Step 3: Cross multiply
    14,627x = 20,188.50 × 10,096.04
  4. Step 4: Simplify right side
    14,627x = 203,823,903.54
  5. Step 5: Solve for x
    x = 203,823,903.54/14,627
  6. Step 6: Final answer
    x = 13,934.77

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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.