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Finding the Fourth Proportional to 23,358.42, 35,037.64 and 5,828.26

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Solution

The fourth proportional to 23,358.42, 35,037.64 and 5,828.26 is: 8,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,358.42 : 35,037.64 = 5,828.26 : x
  2. Step 2: Convert to fraction form
    23,358.42/35,037.64 = 5,828.26/x
  3. Step 3: Cross multiply
    23,358.42x = 35,037.64 × 5,828.26
  4. Step 4: Simplify right side
    23,358.42x = 204,208,475.71
  5. Step 5: Solve for x
    x = 204,208,475.71/23,358.42
  6. Step 6: Final answer
    x = 8,742.39

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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.