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Finding the Fourth Proportional to 25,139.84, 37,709.72 and 6,419.89

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Solution

The fourth proportional to 25,139.84, 37,709.72 and 6,419.89 is: 9,629.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,139.84 : 37,709.72 = 6,419.89 : x
  2. Step 2: Convert to fraction form
    25,139.84/37,709.72 = 6,419.89/x
  3. Step 3: Cross multiply
    25,139.84x = 37,709.72 × 6,419.89
  4. Step 4: Simplify right side
    25,139.84x = 242,092,161.44
  5. Step 5: Solve for x
    x = 242,092,161.44/25,139.84
  6. Step 6: Final answer
    x = 9,629.82

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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.