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Finding the Fourth Proportional to 13,501, 18,629.40 and 7,532.20

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Solution

The fourth proportional to 13,501, 18,629.40 and 7,532.20 is: 10,393.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,501 : 18,629.40 = 7,532.20 : x
  2. Step 2: Convert to fraction form
    13,501/18,629.40 = 7,532.20/x
  3. Step 3: Cross multiply
    13,501x = 18,629.40 × 7,532.20
  4. Step 4: Simplify right side
    13,501x = 140,320,366.68
  5. Step 5: Solve for x
    x = 140,320,366.68/13,501
  6. Step 6: Final answer
    x = 10,393.33

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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.