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Finding the Fourth Proportional to 25,646.49, 38,465.87 and 8,114.04

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Solution

The fourth proportional to 25,646.49, 38,465.87 and 8,114.04 is: 12,169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,646.49 : 38,465.87 = 8,114.04 : x
  2. Step 2: Convert to fraction form
    25,646.49/38,465.87 = 8,114.04/x
  3. Step 3: Cross multiply
    25,646.49x = 38,465.87 × 8,114.04
  4. Step 4: Simplify right side
    25,646.49x = 312,113,415.49
  5. Step 5: Solve for x
    x = 312,113,415.49/25,646.49
  6. Step 6: Final answer
    x = 12,169.83

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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.