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Finding the Fourth Proportional to 14,780.31, 22,164.81 and 6,346.05

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Solution

The fourth proportional to 14,780.31, 22,164.81 and 6,346.05 is: 9,516.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,780.31 : 22,164.81 = 6,346.05 : x
  2. Step 2: Convert to fraction form
    14,780.31/22,164.81 = 6,346.05/x
  3. Step 3: Cross multiply
    14,780.31x = 22,164.81 × 6,346.05
  4. Step 4: Simplify right side
    14,780.31x = 140,658,992.50
  5. Step 5: Solve for x
    x = 140,658,992.50/14,780.31
  6. Step 6: Final answer
    x = 9,516.65

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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.