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Finding the Fourth Proportional to 23,617.37, 32,591.91 and 13,007.00

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Solution

The fourth proportional to 23,617.37, 32,591.91 and 13,007.00 is: 17,949.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,617.37 : 32,591.91 = 13,007.00 : x
  2. Step 2: Convert to fraction form
    23,617.37/32,591.91 = 13,007.00/x
  3. Step 3: Cross multiply
    23,617.37x = 32,591.91 × 13,007.00
  4. Step 4: Simplify right side
    23,617.37x = 423,923,103.63
  5. Step 5: Solve for x
    x = 423,923,103.63/23,617.37
  6. Step 6: Final answer
    x = 17,949.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.