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Finding the Fourth Proportional to 10,632.10, 16,027.80 and 9,918.49

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Solution

The fourth proportional to 10,632.10, 16,027.80 and 9,918.49 is: 14,952.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.10 : 16,027.80 = 9,918.49 : x
  2. Step 2: Convert to fraction form
    10,632.10/16,027.80 = 9,918.49/x
  3. Step 3: Cross multiply
    10,632.10x = 16,027.80 × 9,918.49
  4. Step 4: Simplify right side
    10,632.10x = 158,971,524.43
  5. Step 5: Solve for x
    x = 158,971,524.43/10,632.10
  6. Step 6: Final answer
    x = 14,952.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.