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Finding the Fourth Proportional to 19,537.19, 29,293.97 and 7,676.76

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Solution

The fourth proportional to 19,537.19, 29,293.97 and 7,676.76 is: 11,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,537.19 : 29,293.97 = 7,676.76 : x
  2. Step 2: Convert to fraction form
    19,537.19/29,293.97 = 7,676.76/x
  3. Step 3: Cross multiply
    19,537.19x = 29,293.97 × 7,676.76
  4. Step 4: Simplify right side
    19,537.19x = 224,882,738.75
  5. Step 5: Solve for x
    x = 224,882,738.75/19,537.19
  6. Step 6: Final answer
    x = 11,510.50

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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.