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Finding the Fourth Proportional to 13,403.09, 20,014.40 and 10,942.72

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Solution

The fourth proportional to 13,403.09, 20,014.40 and 10,942.72 is: 16,340.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,403.09 : 20,014.40 = 10,942.72 : x
  2. Step 2: Convert to fraction form
    13,403.09/20,014.40 = 10,942.72/x
  3. Step 3: Cross multiply
    13,403.09x = 20,014.40 × 10,942.72
  4. Step 4: Simplify right side
    13,403.09x = 219,011,952.49
  5. Step 5: Solve for x
    x = 219,011,952.49/13,403.09
  6. Step 6: Final answer
    x = 16,340.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.