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Finding the Fourth Proportional to 13,964, 19,270.36 and 7,676.42

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Solution

The fourth proportional to 13,964, 19,270.36 and 7,676.42 is: 10,593.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,964 : 19,270.36 = 7,676.42 : x
  2. Step 2: Convert to fraction form
    13,964/19,270.36 = 7,676.42/x
  3. Step 3: Cross multiply
    13,964x = 19,270.36 × 7,676.42
  4. Step 4: Simplify right side
    13,964x = 147,927,376.91
  5. Step 5: Solve for x
    x = 147,927,376.91/13,964
  6. Step 6: Final answer
    x = 10,593.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.