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Finding the Fourth Proportional to 25,776.96, 38,602.08 and 12,586.80

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Solution

The fourth proportional to 25,776.96, 38,602.08 and 12,586.80 is: 18,849.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,776.96 : 38,602.08 = 12,586.80 : x
  2. Step 2: Convert to fraction form
    25,776.96/38,602.08 = 12,586.80/x
  3. Step 3: Cross multiply
    25,776.96x = 38,602.08 × 12,586.80
  4. Step 4: Simplify right side
    25,776.96x = 485,876,660.54
  5. Step 5: Solve for x
    x = 485,876,660.54/25,776.96
  6. Step 6: Final answer
    x = 18,849.26

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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.