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Finding the Fourth Proportional to 12,805.50, 19,186.41 and 9,089.34

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Solution

The fourth proportional to 12,805.50, 19,186.41 and 9,089.34 is: 13,618.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.50 : 19,186.41 = 9,089.34 : x
  2. Step 2: Convert to fraction form
    12,805.50/19,186.41 = 9,089.34/x
  3. Step 3: Cross multiply
    12,805.50x = 19,186.41 × 9,089.34
  4. Step 4: Simplify right side
    12,805.50x = 174,391,803.87
  5. Step 5: Solve for x
    x = 174,391,803.87/12,805.50
  6. Step 6: Final answer
    x = 13,618.51

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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.