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Finding the Fourth Proportional to 14,627.69, 20,186.13 and 7,913.30

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Solution

The fourth proportional to 14,627.69, 20,186.13 and 7,913.30 is: 10,920.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,627.69 : 20,186.13 = 7,913.30 : x
  2. Step 2: Convert to fraction form
    14,627.69/20,186.13 = 7,913.30/x
  3. Step 3: Cross multiply
    14,627.69x = 20,186.13 × 7,913.30
  4. Step 4: Simplify right side
    14,627.69x = 159,738,922.31
  5. Step 5: Solve for x
    x = 159,738,922.31/14,627.69
  6. Step 6: Final answer
    x = 10,920.31

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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.