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Finding the Fourth Proportional to 16,007.94, 24,009.12 and 7,240.80

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Solution

The fourth proportional to 16,007.94, 24,009.12 and 7,240.80 is: 10,859.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.94 : 24,009.12 = 7,240.80 : x
  2. Step 2: Convert to fraction form
    16,007.94/24,009.12 = 7,240.80/x
  3. Step 3: Cross multiply
    16,007.94x = 24,009.12 × 7,240.80
  4. Step 4: Simplify right side
    16,007.94x = 173,845,236.10
  5. Step 5: Solve for x
    x = 173,845,236.10/16,007.94
  6. Step 6: Final answer
    x = 10,859.94

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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.