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Finding the Fourth Proportional to 13,419.60, 20,129.34 and 11,426.67

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Solution

The fourth proportional to 13,419.60, 20,129.34 and 11,426.67 is: 17,139.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419.60 : 20,129.34 = 11,426.67 : x
  2. Step 2: Convert to fraction form
    13,419.60/20,129.34 = 11,426.67/x
  3. Step 3: Cross multiply
    13,419.60x = 20,129.34 × 11,426.67
  4. Step 4: Simplify right side
    13,419.60x = 230,011,325.50
  5. Step 5: Solve for x
    x = 230,011,325.50/13,419.60
  6. Step 6: Final answer
    x = 17,139.95

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Why These Related Problems?

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