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Finding the Fourth Proportional to 12,898.68, 19,351.03 and 4,013.57

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Solution

The fourth proportional to 12,898.68, 19,351.03 and 4,013.57 is: 6,021.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,898.68 : 19,351.03 = 4,013.57 : x
  2. Step 2: Convert to fraction form
    12,898.68/19,351.03 = 4,013.57/x
  3. Step 3: Cross multiply
    12,898.68x = 19,351.03 × 4,013.57
  4. Step 4: Simplify right side
    12,898.68x = 77,666,650.50
  5. Step 5: Solve for x
    x = 77,666,650.50/12,898.68
  6. Step 6: Final answer
    x = 6,021.29

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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.