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Finding the Fourth Proportional to 13,530.98, 18,673.18 and 7,562.54

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Solution

The fourth proportional to 13,530.98, 18,673.18 and 7,562.54 is: 10,436.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530.98 : 18,673.18 = 7,562.54 : x
  2. Step 2: Convert to fraction form
    13,530.98/18,673.18 = 7,562.54/x
  3. Step 3: Cross multiply
    13,530.98x = 18,673.18 × 7,562.54
  4. Step 4: Simplify right side
    13,530.98x = 141,216,670.68
  5. Step 5: Solve for x
    x = 141,216,670.68/13,530.98
  6. Step 6: Final answer
    x = 10,436.54

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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.