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Finding the Fourth Proportional to 23,332.64, 35,003.75 and 7,538.85

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Solution

The fourth proportional to 23,332.64, 35,003.75 and 7,538.85 is: 11,309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,332.64 : 35,003.75 = 7,538.85 : x
  2. Step 2: Convert to fraction form
    23,332.64/35,003.75 = 7,538.85/x
  3. Step 3: Cross multiply
    23,332.64x = 35,003.75 × 7,538.85
  4. Step 4: Simplify right side
    23,332.64x = 263,887,982.99
  5. Step 5: Solve for x
    x = 263,887,982.99/23,332.64
  6. Step 6: Final answer
    x = 11,309.82

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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.