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Finding the Fourth Proportional to 13,930.29, 19,223.91 and 7,798.05

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Solution

The fourth proportional to 13,930.29, 19,223.91 and 7,798.05 is: 10,761.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.29 : 19,223.91 = 7,798.05 : x
  2. Step 2: Convert to fraction form
    13,930.29/19,223.91 = 7,798.05/x
  3. Step 3: Cross multiply
    13,930.29x = 19,223.91 × 7,798.05
  4. Step 4: Simplify right side
    13,930.29x = 149,909,011.38
  5. Step 5: Solve for x
    x = 149,909,011.38/13,930.29
  6. Step 6: Final answer
    x = 10,761.37

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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.