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Finding the Fourth Proportional to 17,781.89, 26,676.81 and 6,688.67

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Solution

The fourth proportional to 17,781.89, 26,676.81 and 6,688.67 is: 10,034.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,781.89 : 26,676.81 = 6,688.67 : x
  2. Step 2: Convert to fraction form
    17,781.89/26,676.81 = 6,688.67/x
  3. Step 3: Cross multiply
    17,781.89x = 26,676.81 × 6,688.67
  4. Step 4: Simplify right side
    17,781.89x = 178,432,428.71
  5. Step 5: Solve for x
    x = 178,432,428.71/17,781.89
  6. Step 6: Final answer
    x = 10,034.50

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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.