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Finding the Fourth Proportional to 10,301.60, 14,205.53 and 8,814.44

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Solution

The fourth proportional to 10,301.60, 14,205.53 and 8,814.44 is: 12,154.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301.60 : 14,205.53 = 8,814.44 : x
  2. Step 2: Convert to fraction form
    10,301.60/14,205.53 = 8,814.44/x
  3. Step 3: Cross multiply
    10,301.60x = 14,205.53 × 8,814.44
  4. Step 4: Simplify right side
    10,301.60x = 125,213,747.78
  5. Step 5: Solve for x
    x = 125,213,747.78/10,301.60
  6. Step 6: Final answer
    x = 12,154.79

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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.