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Finding the Fourth Proportional to 21,005.92, 31,505.64 and 9,317.08

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Solution

The fourth proportional to 21,005.92, 31,505.64 and 9,317.08 is: 13,974.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,005.92 : 31,505.64 = 9,317.08 : x
  2. Step 2: Convert to fraction form
    21,005.92/31,505.64 = 9,317.08/x
  3. Step 3: Cross multiply
    21,005.92x = 31,505.64 × 9,317.08
  4. Step 4: Simplify right side
    21,005.92x = 293,540,568.33
  5. Step 5: Solve for x
    x = 293,540,568.33/21,005.92
  6. Step 6: Final answer
    x = 13,974.18

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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.