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Finding the Fourth Proportional to 13,459.14, 20,176.23 and 12,351.78

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Solution

The fourth proportional to 13,459.14, 20,176.23 and 12,351.78 is: 18,516.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,459.14 : 20,176.23 = 12,351.78 : x
  2. Step 2: Convert to fraction form
    13,459.14/20,176.23 = 12,351.78/x
  3. Step 3: Cross multiply
    13,459.14x = 20,176.23 × 12,351.78
  4. Step 4: Simplify right side
    13,459.14x = 249,212,354.19
  5. Step 5: Solve for x
    x = 249,212,354.19/13,459.14
  6. Step 6: Final answer
    x = 18,516.22

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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.