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Finding the Fourth Proportional to 24,824.40, 37,139.40 and 16,076.40

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Solution

The fourth proportional to 24,824.40, 37,139.40 and 16,076.40 is: 24,051.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,824.40 : 37,139.40 = 16,076.40 : x
  2. Step 2: Convert to fraction form
    24,824.40/37,139.40 = 16,076.40/x
  3. Step 3: Cross multiply
    24,824.40x = 37,139.40 × 16,076.40
  4. Step 4: Simplify right side
    24,824.40x = 597,067,850.16
  5. Step 5: Solve for x
    x = 597,067,850.16/24,824.40
  6. Step 6: Final answer
    x = 24,051.65

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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.