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Finding the Fourth Proportional to 14,474, 19,991.40 and 9,750.08

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Solution

The fourth proportional to 14,474, 19,991.40 and 9,750.08 is: 13,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,474 : 19,991.40 = 9,750.08 : x
  2. Step 2: Convert to fraction form
    14,474/19,991.40 = 9,750.08/x
  3. Step 3: Cross multiply
    14,474x = 19,991.40 × 9,750.08
  4. Step 4: Simplify right side
    14,474x = 194,917,749.31
  5. Step 5: Solve for x
    x = 194,917,749.31/14,474
  6. Step 6: Final answer
    x = 13,466.75

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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.