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Finding the Fourth Proportional to 13,501.68, 18,633.23 and 7,533.28

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Solution

The fourth proportional to 13,501.68, 18,633.23 and 7,533.28 is: 10,396.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,501.68 : 18,633.23 = 7,533.28 : x
  2. Step 2: Convert to fraction form
    13,501.68/18,633.23 = 7,533.28/x
  3. Step 3: Cross multiply
    13,501.68x = 18,633.23 × 7,533.28
  4. Step 4: Simplify right side
    13,501.68x = 140,369,338.89
  5. Step 5: Solve for x
    x = 140,369,338.89/13,501.68
  6. Step 6: Final answer
    x = 10,396.44

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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.