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Finding the Fourth Proportional to 13,501.63, 18,632.23 and 7,533.28

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Solution

The fourth proportional to 13,501.63, 18,632.23 and 7,533.28 is: 10,395.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,501.63 : 18,632.23 = 7,533.28 : x
  2. Step 2: Convert to fraction form
    13,501.63/18,632.23 = 7,533.28/x
  3. Step 3: Cross multiply
    13,501.63x = 18,632.23 × 7,533.28
  4. Step 4: Simplify right side
    13,501.63x = 140,361,805.61
  5. Step 5: Solve for x
    x = 140,361,805.61/13,501.63
  6. Step 6: Final answer
    x = 10,395.92

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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.