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Finding the Fourth Proportional to 18,906, 26,096.76 and 11,454

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Solution

The fourth proportional to 18,906, 26,096.76 and 11,454 is: 15,810.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,906 : 26,096.76 = 11,454 : x
  2. Step 2: Convert to fraction form
    18,906/26,096.76 = 11,454/x
  3. Step 3: Cross multiply
    18,906x = 26,096.76 × 11,454
  4. Step 4: Simplify right side
    18,906x = 298,912,289.04
  5. Step 5: Solve for x
    x = 298,912,289.04/18,906
  6. Step 6: Final answer
    x = 15,810.45

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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.