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Finding the Fourth Proportional to 13,501.62, 18,632.25 and 7,533.68

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Solution

The fourth proportional to 13,501.62, 18,632.25 and 7,533.68 is: 10,396.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,501.62 : 18,632.25 = 7,533.68 : x
  2. Step 2: Convert to fraction form
    13,501.62/18,632.25 = 7,533.68/x
  3. Step 3: Cross multiply
    13,501.62x = 18,632.25 × 7,533.68
  4. Step 4: Simplify right side
    13,501.62x = 140,369,316.02
  5. Step 5: Solve for x
    x = 140,369,316.02/13,501.62
  6. Step 6: Final answer
    x = 10,396.48

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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.