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Finding the Fourth Proportional to 14,986.86, 22,494.09 and 7,596.48

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Solution

The fourth proportional to 14,986.86, 22,494.09 and 7,596.48 is: 11,401.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,986.86 : 22,494.09 = 7,596.48 : x
  2. Step 2: Convert to fraction form
    14,986.86/22,494.09 = 7,596.48/x
  3. Step 3: Cross multiply
    14,986.86x = 22,494.09 × 7,596.48
  4. Step 4: Simplify right side
    14,986.86x = 170,875,974.91
  5. Step 5: Solve for x
    x = 170,875,974.91/14,986.86
  6. Step 6: Final answer
    x = 11,401.72

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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.