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Finding the Fourth Proportional to 14,059, 19,401.44 and 7,771.38

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Solution

The fourth proportional to 14,059, 19,401.44 and 7,771.38 is: 10,724.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,059 : 19,401.44 = 7,771.38 : x
  2. Step 2: Convert to fraction form
    14,059/19,401.44 = 7,771.38/x
  3. Step 3: Cross multiply
    14,059x = 19,401.44 × 7,771.38
  4. Step 4: Simplify right side
    14,059x = 150,775,962.79
  5. Step 5: Solve for x
    x = 150,775,962.79/14,059
  6. Step 6: Final answer
    x = 10,724.52

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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.