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Finding the Fourth Proportional to 15,205.86, 22,812.17 and 4,676.94

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Solution

The fourth proportional to 15,205.86, 22,812.17 and 4,676.94 is: 7,016.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.86 : 22,812.17 = 4,676.94 : x
  2. Step 2: Convert to fraction form
    15,205.86/22,812.17 = 4,676.94/x
  3. Step 3: Cross multiply
    15,205.86x = 22,812.17 × 4,676.94
  4. Step 4: Simplify right side
    15,205.86x = 106,691,150.36
  5. Step 5: Solve for x
    x = 106,691,150.36/15,205.86
  6. Step 6: Final answer
    x = 7,016.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.