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Finding the Fourth Proportional to 13,011.12, 17,950.68 and 7,418.88

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Solution

The fourth proportional to 13,011.12, 17,950.68 and 7,418.88 is: 10,235.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.12 : 17,950.68 = 7,418.88 : x
  2. Step 2: Convert to fraction form
    13,011.12/17,950.68 = 7,418.88/x
  3. Step 3: Cross multiply
    13,011.12x = 17,950.68 × 7,418.88
  4. Step 4: Simplify right side
    13,011.12x = 133,173,940.84
  5. Step 5: Solve for x
    x = 133,173,940.84/13,011.12
  6. Step 6: Final answer
    x = 10,235.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.