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Finding the Fourth Proportional to 12,890.25, 19,344.02 and 4,682.25

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Solution

The fourth proportional to 12,890.25, 19,344.02 and 4,682.25 is: 7,026.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,890.25 : 19,344.02 = 4,682.25 : x
  2. Step 2: Convert to fraction form
    12,890.25/19,344.02 = 4,682.25/x
  3. Step 3: Cross multiply
    12,890.25x = 19,344.02 × 4,682.25
  4. Step 4: Simplify right side
    12,890.25x = 90,573,514.23
  5. Step 5: Solve for x
    x = 90,573,514.23/12,890.25
  6. Step 6: Final answer
    x = 7,026.51

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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.