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Finding the Fourth Proportional to 25,646.84, 38,466.41 and 8,114.39

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Solution

The fourth proportional to 25,646.84, 38,466.41 and 8,114.39 is: 12,170.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,646.84 : 38,466.41 = 8,114.39 : x
  2. Step 2: Convert to fraction form
    25,646.84/38,466.41 = 8,114.39/x
  3. Step 3: Cross multiply
    25,646.84x = 38,466.41 × 8,114.39
  4. Step 4: Simplify right side
    25,646.84x = 312,131,569.09
  5. Step 5: Solve for x
    x = 312,131,569.09/25,646.84
  6. Step 6: Final answer
    x = 12,170.37

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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.