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Finding the Fourth Proportional to 13,427.47, 18,530.67 and 7,458.99

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Solution

The fourth proportional to 13,427.47, 18,530.67 and 7,458.99 is: 10,293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.47 : 18,530.67 = 7,458.99 : x
  2. Step 2: Convert to fraction form
    13,427.47/18,530.67 = 7,458.99/x
  3. Step 3: Cross multiply
    13,427.47x = 18,530.67 × 7,458.99
  4. Step 4: Simplify right side
    13,427.47x = 138,220,040.70
  5. Step 5: Solve for x
    x = 138,220,040.70/13,427.47
  6. Step 6: Final answer
    x = 10,293.83

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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.