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Finding the Fourth Proportional to 15,415.98, 23,104.50 and 12,849.90

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Solution

The fourth proportional to 15,415.98, 23,104.50 and 12,849.90 is: 19,258.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,415.98 : 23,104.50 = 12,849.90 : x
  2. Step 2: Convert to fraction form
    15,415.98/23,104.50 = 12,849.90/x
  3. Step 3: Cross multiply
    15,415.98x = 23,104.50 × 12,849.90
  4. Step 4: Simplify right side
    15,415.98x = 296,890,514.55
  5. Step 5: Solve for x
    x = 296,890,514.55/15,415.98
  6. Step 6: Final answer
    x = 19,258.62

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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.