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Finding the Fourth Proportional to 13,501.72, 18,632.30 and 7,533.38

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Solution

The fourth proportional to 13,501.72, 18,632.30 and 7,533.38 is: 10,396.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,501.72 : 18,632.30 = 7,533.38 : x
  2. Step 2: Convert to fraction form
    13,501.72/18,632.30 = 7,533.38/x
  3. Step 3: Cross multiply
    13,501.72x = 18,632.30 × 7,533.38
  4. Step 4: Simplify right side
    13,501.72x = 140,364,196.17
  5. Step 5: Solve for x
    x = 140,364,196.17/13,501.72
  6. Step 6: Final answer
    x = 10,396.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.