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Finding the Fourth Proportional to 21,661.14, 32,494.81 and 6,669.53

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Solution

The fourth proportional to 21,661.14, 32,494.81 and 6,669.53 is: 10,005.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,661.14 : 32,494.81 = 6,669.53 : x
  2. Step 2: Convert to fraction form
    21,661.14/32,494.81 = 6,669.53/x
  3. Step 3: Cross multiply
    21,661.14x = 32,494.81 × 6,669.53
  4. Step 4: Simplify right side
    21,661.14x = 216,724,922.65
  5. Step 5: Solve for x
    x = 216,724,922.65/21,661.14
  6. Step 6: Final answer
    x = 10,005.24

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Why These Related Problems?

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