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Finding the Fourth Proportional to 13,642.90, 20,452.35 and 9,246.10

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Solution

The fourth proportional to 13,642.90, 20,452.35 and 9,246.10 is: 13,861.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.90 : 20,452.35 = 9,246.10 : x
  2. Step 2: Convert to fraction form
    13,642.90/20,452.35 = 9,246.10/x
  3. Step 3: Cross multiply
    13,642.90x = 20,452.35 × 9,246.10
  4. Step 4: Simplify right side
    13,642.90x = 189,104,473.34
  5. Step 5: Solve for x
    x = 189,104,473.34/13,642.90
  6. Step 6: Final answer
    x = 13,861.02

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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.