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Finding the Fourth Proportional to 13,225.32, 18,250.65 and 8,509.59

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Solution

The fourth proportional to 13,225.32, 18,250.65 and 8,509.59 is: 11,743.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225.32 : 18,250.65 = 8,509.59 : x
  2. Step 2: Convert to fraction form
    13,225.32/18,250.65 = 8,509.59/x
  3. Step 3: Cross multiply
    13,225.32x = 18,250.65 × 8,509.59
  4. Step 4: Simplify right side
    13,225.32x = 155,305,548.73
  5. Step 5: Solve for x
    x = 155,305,548.73/13,225.32
  6. Step 6: Final answer
    x = 11,743.05

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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.