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Finding the Fourth Proportional to 13,620, 20,434.92 and 6,699.36

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Solution

The fourth proportional to 13,620, 20,434.92 and 6,699.36 is: 10,051.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,620 : 20,434.92 = 6,699.36 : x
  2. Step 2: Convert to fraction form
    13,620/20,434.92 = 6,699.36/x
  3. Step 3: Cross multiply
    13,620x = 20,434.92 × 6,699.36
  4. Step 4: Simplify right side
    13,620x = 136,900,885.65
  5. Step 5: Solve for x
    x = 136,900,885.65/13,620
  6. Step 6: Final answer
    x = 10,051.46

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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.