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Finding the Fourth Proportional to 21,136.30, 31,661.39 and 10,009.25

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Solution

The fourth proportional to 21,136.30, 31,661.39 and 10,009.25 is: 14,993.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,136.30 : 31,661.39 = 10,009.25 : x
  2. Step 2: Convert to fraction form
    21,136.30/31,661.39 = 10,009.25/x
  3. Step 3: Cross multiply
    21,136.30x = 31,661.39 × 10,009.25
  4. Step 4: Simplify right side
    21,136.30x = 316,906,767.86
  5. Step 5: Solve for x
    x = 316,906,767.86/21,136.30
  6. Step 6: Final answer
    x = 14,993.48

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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.