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Finding the Fourth Proportional to 25,114.68, 37,647.54 and 11,963.52

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Solution

The fourth proportional to 25,114.68, 37,647.54 and 11,963.52 is: 17,933.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,114.68 : 37,647.54 = 11,963.52 : x
  2. Step 2: Convert to fraction form
    25,114.68/37,647.54 = 11,963.52/x
  3. Step 3: Cross multiply
    25,114.68x = 37,647.54 × 11,963.52
  4. Step 4: Simplify right side
    25,114.68x = 450,397,097.74
  5. Step 5: Solve for x
    x = 450,397,097.74/25,114.68
  6. Step 6: Final answer
    x = 17,933.62

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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.