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Finding the Fourth Proportional to 13,575.16, 20,348.53 and 5,682.20

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Solution

The fourth proportional to 13,575.16, 20,348.53 and 5,682.20 is: 8,517.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,575.16 : 20,348.53 = 5,682.20 : x
  2. Step 2: Convert to fraction form
    13,575.16/20,348.53 = 5,682.20/x
  3. Step 3: Cross multiply
    13,575.16x = 20,348.53 × 5,682.20
  4. Step 4: Simplify right side
    13,575.16x = 115,624,417.17
  5. Step 5: Solve for x
    x = 115,624,417.17/13,575.16
  6. Step 6: Final answer
    x = 8,517.35

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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.