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Finding the Fourth Proportional to 23,535.59, 35,308.24 and 6,896.16

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Solution

The fourth proportional to 23,535.59, 35,308.24 and 6,896.16 is: 10,345.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,535.59 : 35,308.24 = 6,896.16 : x
  2. Step 2: Convert to fraction form
    23,535.59/35,308.24 = 6,896.16/x
  3. Step 3: Cross multiply
    23,535.59x = 35,308.24 × 6,896.16
  4. Step 4: Simplify right side
    23,535.59x = 243,491,255.12
  5. Step 5: Solve for x
    x = 243,491,255.12/23,535.59
  6. Step 6: Final answer
    x = 10,345.66

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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.