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Finding the Fourth Proportional to 13,499.94, 18,629.06 and 7,532

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Solution

The fourth proportional to 13,499.94, 18,629.06 and 7,532 is: 10,393.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,499.94 : 18,629.06 = 7,532 : x
  2. Step 2: Convert to fraction form
    13,499.94/18,629.06 = 7,532/x
  3. Step 3: Cross multiply
    13,499.94x = 18,629.06 × 7,532
  4. Step 4: Simplify right side
    13,499.94x = 140,314,079.92
  5. Step 5: Solve for x
    x = 140,314,079.92/13,499.94
  6. Step 6: Final answer
    x = 10,393.68

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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.