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Finding the Fourth Proportional to 14,662.50, 22,011.38 and 12,351.57

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Solution

The fourth proportional to 14,662.50, 22,011.38 and 12,351.57 is: 18,542.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,662.50 : 22,011.38 = 12,351.57 : x
  2. Step 2: Convert to fraction form
    14,662.50/22,011.38 = 12,351.57/x
  3. Step 3: Cross multiply
    14,662.50x = 22,011.38 × 12,351.57
  4. Step 4: Simplify right side
    14,662.50x = 271,875,039.11
  5. Step 5: Solve for x
    x = 271,875,039.11/14,662.50
  6. Step 6: Final answer
    x = 18,542.20

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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.