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Finding the Fourth Proportional to 25,419.49, 38,134.03 and 9,629.25

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Solution

The fourth proportional to 25,419.49, 38,134.03 and 9,629.25 is: 14,445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,419.49 : 38,134.03 = 9,629.25 : x
  2. Step 2: Convert to fraction form
    25,419.49/38,134.03 = 9,629.25/x
  3. Step 3: Cross multiply
    25,419.49x = 38,134.03 × 9,629.25
  4. Step 4: Simplify right side
    25,419.49x = 367,202,108.38
  5. Step 5: Solve for x
    x = 367,202,108.38/25,419.49
  6. Step 6: Final answer
    x = 14,445.69

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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.