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Finding the Fourth Proportional to 10,188.90, 14,020.83 and 9,012.78

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Solution

The fourth proportional to 10,188.90, 14,020.83 and 9,012.78 is: 12,402.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.90 : 14,020.83 = 9,012.78 : x
  2. Step 2: Convert to fraction form
    10,188.90/14,020.83 = 9,012.78/x
  3. Step 3: Cross multiply
    10,188.90x = 14,020.83 × 9,012.78
  4. Step 4: Simplify right side
    10,188.90x = 126,366,656.21
  5. Step 5: Solve for x
    x = 126,366,656.21/10,188.90
  6. Step 6: Final answer
    x = 12,402.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.