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Finding the Fourth Proportional to 13,710.34, 20,565.31 and 3,322.02

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Solution

The fourth proportional to 13,710.34, 20,565.31 and 3,322.02 is: 4,982.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.34 : 20,565.31 = 3,322.02 : x
  2. Step 2: Convert to fraction form
    13,710.34/20,565.31 = 3,322.02/x
  3. Step 3: Cross multiply
    13,710.34x = 20,565.31 × 3,322.02
  4. Step 4: Simplify right side
    13,710.34x = 68,318,371.13
  5. Step 5: Solve for x
    x = 68,318,371.13/13,710.34
  6. Step 6: Final answer
    x = 4,982.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.