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Finding the Fourth Proportional to 23,533.25, 32,478.77 and 13,597.25

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Solution

The fourth proportional to 23,533.25, 32,478.77 and 13,597.25 is: 18,765.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,533.25 : 32,478.77 = 13,597.25 : x
  2. Step 2: Convert to fraction form
    23,533.25/32,478.77 = 13,597.25/x
  3. Step 3: Cross multiply
    23,533.25x = 32,478.77 × 13,597.25
  4. Step 4: Simplify right side
    23,533.25x = 441,621,887.40
  5. Step 5: Solve for x
    x = 441,621,887.40/23,533.25
  6. Step 6: Final answer
    x = 18,765.87

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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.