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Finding the Fourth Proportional to 23,784.16, 35,676.22 and 7,144.32

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Solution

The fourth proportional to 23,784.16, 35,676.22 and 7,144.32 is: 10,716.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,784.16 : 35,676.22 = 7,144.32 : x
  2. Step 2: Convert to fraction form
    23,784.16/35,676.22 = 7,144.32/x
  3. Step 3: Cross multiply
    23,784.16x = 35,676.22 × 7,144.32
  4. Step 4: Simplify right side
    23,784.16x = 254,882,332.07
  5. Step 5: Solve for x
    x = 254,882,332.07/23,784.16
  6. Step 6: Final answer
    x = 10,716.47

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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.