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Finding the Fourth Proportional to 14,186.50, 21,242.58 and 10,003.88

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Solution

The fourth proportional to 14,186.50, 21,242.58 and 10,003.88 is: 14,979.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186.50 : 21,242.58 = 10,003.88 : x
  2. Step 2: Convert to fraction form
    14,186.50/21,242.58 = 10,003.88/x
  3. Step 3: Cross multiply
    14,186.50x = 21,242.58 × 10,003.88
  4. Step 4: Simplify right side
    14,186.50x = 212,508,221.21
  5. Step 5: Solve for x
    x = 212,508,221.21/14,186.50
  6. Step 6: Final answer
    x = 14,979.61

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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.