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Finding the Fourth Proportional to 14,921.80, 20,590.47 and 8,633

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Solution

The fourth proportional to 14,921.80, 20,590.47 and 8,633 is: 11,912.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,921.80 : 20,590.47 = 8,633 : x
  2. Step 2: Convert to fraction form
    14,921.80/20,590.47 = 8,633/x
  3. Step 3: Cross multiply
    14,921.80x = 20,590.47 × 8,633
  4. Step 4: Simplify right side
    14,921.80x = 177,757,527.51
  5. Step 5: Solve for x
    x = 177,757,527.51/14,921.80
  6. Step 6: Final answer
    x = 11,912.61

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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.