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Finding the Fourth Proportional to 13,421.30, 20,107.65 and 10,942.70

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Solution

The fourth proportional to 13,421.30, 20,107.65 and 10,942.70 is: 16,394.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,421.30 : 20,107.65 = 10,942.70 : x
  2. Step 2: Convert to fraction form
    13,421.30/20,107.65 = 10,942.70/x
  3. Step 3: Cross multiply
    13,421.30x = 20,107.65 × 10,942.70
  4. Step 4: Simplify right side
    13,421.30x = 220,031,981.66
  5. Step 5: Solve for x
    x = 220,031,981.66/13,421.30
  6. Step 6: Final answer
    x = 16,394.24

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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.