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Finding the Fourth Proportional to 12,890.40, 19,324.44 and 7,685.34

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Solution

The fourth proportional to 12,890.40, 19,324.44 and 7,685.34 is: 11,521.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,890.40 : 19,324.44 = 7,685.34 : x
  2. Step 2: Convert to fraction form
    12,890.40/19,324.44 = 7,685.34/x
  3. Step 3: Cross multiply
    12,890.40x = 19,324.44 × 7,685.34
  4. Step 4: Simplify right side
    12,890.40x = 148,514,891.71
  5. Step 5: Solve for x
    x = 148,514,891.71/12,890.40
  6. Step 6: Final answer
    x = 11,521.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.