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Finding the Fourth Proportional to 18,409.50, 25,405.11 and 10,026

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Solution

The fourth proportional to 18,409.50, 25,405.11 and 10,026 is: 13,835.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,409.50 : 25,405.11 = 10,026 : x
  2. Step 2: Convert to fraction form
    18,409.50/25,405.11 = 10,026/x
  3. Step 3: Cross multiply
    18,409.50x = 25,405.11 × 10,026
  4. Step 4: Simplify right side
    18,409.50x = 254,711,632.86
  5. Step 5: Solve for x
    x = 254,711,632.86/18,409.50
  6. Step 6: Final answer
    x = 13,835.88

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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.