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Finding the Fourth Proportional to 14,224.82, 19,631.16 and 7,851.38

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Solution

The fourth proportional to 14,224.82, 19,631.16 and 7,851.38 is: 10,835.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,224.82 : 19,631.16 = 7,851.38 : x
  2. Step 2: Convert to fraction form
    14,224.82/19,631.16 = 7,851.38/x
  3. Step 3: Cross multiply
    14,224.82x = 19,631.16 × 7,851.38
  4. Step 4: Simplify right side
    14,224.82x = 154,131,697.00
  5. Step 5: Solve for x
    x = 154,131,697.00/14,224.82
  6. Step 6: Final answer
    x = 10,835.41

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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.