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Finding the Fourth Proportional to 23,814.38, 35,723.28 and 6,284

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Solution

The fourth proportional to 23,814.38, 35,723.28 and 6,284 is: 9,426.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,814.38 : 35,723.28 = 6,284 : x
  2. Step 2: Convert to fraction form
    23,814.38/35,723.28 = 6,284/x
  3. Step 3: Cross multiply
    23,814.38x = 35,723.28 × 6,284
  4. Step 4: Simplify right side
    23,814.38x = 224,485,091.52
  5. Step 5: Solve for x
    x = 224,485,091.52/23,814.38
  6. Step 6: Final answer
    x = 9,426.45

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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.