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Finding the Fourth Proportional to 25,307.76, 37,969.76 and 12,161.08

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Solution

The fourth proportional to 25,307.76, 37,969.76 and 12,161.08 is: 18,245.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,307.76 : 37,969.76 = 12,161.08 : x
  2. Step 2: Convert to fraction form
    25,307.76/37,969.76 = 12,161.08/x
  3. Step 3: Cross multiply
    25,307.76x = 37,969.76 × 12,161.08
  4. Step 4: Simplify right side
    25,307.76x = 461,753,288.94
  5. Step 5: Solve for x
    x = 461,753,288.94/25,307.76
  6. Step 6: Final answer
    x = 18,245.52

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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.