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Finding the Fourth Proportional to 30,014.28, 41,419.74 and 17,439

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Solution

The fourth proportional to 30,014.28, 41,419.74 and 17,439 is: 24,065.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,014.28 : 41,419.74 = 17,439 : x
  2. Step 2: Convert to fraction form
    30,014.28/41,419.74 = 17,439/x
  3. Step 3: Cross multiply
    30,014.28x = 41,419.74 × 17,439
  4. Step 4: Simplify right side
    30,014.28x = 722,318,845.86
  5. Step 5: Solve for x
    x = 722,318,845.86/30,014.28
  6. Step 6: Final answer
    x = 24,065.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.