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Finding the Fourth Proportional to 25,307.74, 37,969.74 and 12,161.08

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Solution

The fourth proportional to 25,307.74, 37,969.74 and 12,161.08 is: 18,245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,307.74 : 37,969.74 = 12,161.08 : x
  2. Step 2: Convert to fraction form
    25,307.74/37,969.74 = 12,161.08/x
  3. Step 3: Cross multiply
    25,307.74x = 37,969.74 × 12,161.08
  4. Step 4: Simplify right side
    25,307.74x = 461,753,045.72
  5. Step 5: Solve for x
    x = 461,753,045.72/25,307.74
  6. Step 6: Final answer
    x = 18,245.53

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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.