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Finding the Fourth Proportional to 10,301.96, 14,206.04 and 8,814.80

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Solution

The fourth proportional to 10,301.96, 14,206.04 and 8,814.80 is: 12,155.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301.96 : 14,206.04 = 8,814.80 : x
  2. Step 2: Convert to fraction form
    10,301.96/14,206.04 = 8,814.80/x
  3. Step 3: Cross multiply
    10,301.96x = 14,206.04 × 8,814.80
  4. Step 4: Simplify right side
    10,301.96x = 125,223,401.39
  5. Step 5: Solve for x
    x = 125,223,401.39/10,301.96
  6. Step 6: Final answer
    x = 12,155.30

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