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Finding the Fourth Proportional to 23,489.19, 32,414.42 and 13,417.43

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Solution

The fourth proportional to 23,489.19, 32,414.42 and 13,417.43 is: 18,515.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,489.19 : 32,414.42 = 13,417.43 : x
  2. Step 2: Convert to fraction form
    23,489.19/32,414.42 = 13,417.43/x
  3. Step 3: Cross multiply
    23,489.19x = 32,414.42 × 13,417.43
  4. Step 4: Simplify right side
    23,489.19x = 434,918,082.81
  5. Step 5: Solve for x
    x = 434,918,082.81/23,489.19
  6. Step 6: Final answer
    x = 18,515.67

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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.