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Finding the Fourth Proportional to 13,501.90, 18,632.67 and 7,533.82

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Solution

The fourth proportional to 13,501.90, 18,632.67 and 7,533.82 is: 10,396.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,501.90 : 18,632.67 = 7,533.82 : x
  2. Step 2: Convert to fraction form
    13,501.90/18,632.67 = 7,533.82/x
  3. Step 3: Cross multiply
    13,501.90x = 18,632.67 × 7,533.82
  4. Step 4: Simplify right side
    13,501.90x = 140,375,181.90
  5. Step 5: Solve for x
    x = 140,375,181.90/13,501.90
  6. Step 6: Final answer
    x = 10,396.70

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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.