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Finding the Fourth Proportional to 13,502.08, 18,632.80 and 7,533.76

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Solution

The fourth proportional to 13,502.08, 18,632.80 and 7,533.76 is: 10,396.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.08 : 18,632.80 = 7,533.76 : x
  2. Step 2: Convert to fraction form
    13,502.08/18,632.80 = 7,533.76/x
  3. Step 3: Cross multiply
    13,502.08x = 18,632.80 × 7,533.76
  4. Step 4: Simplify right side
    13,502.08x = 140,375,043.33
  5. Step 5: Solve for x
    x = 140,375,043.33/13,502.08
  6. Step 6: Final answer
    x = 10,396.55

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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.