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Finding the Fourth Proportional to 13,454.21, 18,565.94 and 7,485.73

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Solution

The fourth proportional to 13,454.21, 18,565.94 and 7,485.73 is: 10,329.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.21 : 18,565.94 = 7,485.73 : x
  2. Step 2: Convert to fraction form
    13,454.21/18,565.94 = 7,485.73/x
  3. Step 3: Cross multiply
    13,454.21x = 18,565.94 × 7,485.73
  4. Step 4: Simplify right side
    13,454.21x = 138,979,586.34
  5. Step 5: Solve for x
    x = 138,979,586.34/13,454.21
  6. Step 6: Final answer
    x = 10,329.82

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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.