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Finding the Fourth Proportional to 25,153.14, 37,672.19 and 12,014.74

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Solution

The fourth proportional to 25,153.14, 37,672.19 and 12,014.74 is: 17,994.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,153.14 : 37,672.19 = 12,014.74 : x
  2. Step 2: Convert to fraction form
    25,153.14/37,672.19 = 12,014.74/x
  3. Step 3: Cross multiply
    25,153.14x = 37,672.19 × 12,014.74
  4. Step 4: Simplify right side
    25,153.14x = 452,621,568.08
  5. Step 5: Solve for x
    x = 452,621,568.08/25,153.14
  6. Step 6: Final answer
    x = 17,994.63

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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.