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Finding the Fourth Proportional to 25,646.82, 38,464.29 and 8,113.38

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Solution

The fourth proportional to 25,646.82, 38,464.29 and 8,113.38 is: 12,168.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,646.82 : 38,464.29 = 8,113.38 : x
  2. Step 2: Convert to fraction form
    25,646.82/38,464.29 = 8,113.38/x
  3. Step 3: Cross multiply
    25,646.82x = 38,464.29 × 8,113.38
  4. Step 4: Simplify right side
    25,646.82x = 312,075,401.20
  5. Step 5: Solve for x
    x = 312,075,401.20/25,646.82
  6. Step 6: Final answer
    x = 12,168.19

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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.