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Finding the Fourth Proportional to 12,538.85, 17,305.46 and 7,232.63

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Solution

The fourth proportional to 12,538.85, 17,305.46 and 7,232.63 is: 9,982.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.85 : 17,305.46 = 7,232.63 : x
  2. Step 2: Convert to fraction form
    12,538.85/17,305.46 = 7,232.63/x
  3. Step 3: Cross multiply
    12,538.85x = 17,305.46 × 7,232.63
  4. Step 4: Simplify right side
    12,538.85x = 125,163,953.00
  5. Step 5: Solve for x
    x = 125,163,953.00/12,538.85
  6. Step 6: Final answer
    x = 9,982.09

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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.