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Finding the Fourth Proportional to 12,964, 19,338.23 and 12,749.97

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Solution

The fourth proportional to 12,964, 19,338.23 and 12,749.97 is: 19,018.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964 : 19,338.23 = 12,749.97 : x
  2. Step 2: Convert to fraction form
    12,964/19,338.23 = 12,749.97/x
  3. Step 3: Cross multiply
    12,964x = 19,338.23 × 12,749.97
  4. Step 4: Simplify right side
    12,964x = 246,561,852.35
  5. Step 5: Solve for x
    x = 246,561,852.35/12,964
  6. Step 6: Final answer
    x = 19,018.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.