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Finding the Fourth Proportional to 15,922.16, 21,971.64 and 9,207.31

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Solution

The fourth proportional to 15,922.16, 21,971.64 and 9,207.31 is: 12,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,922.16 : 21,971.64 = 9,207.31 : x
  2. Step 2: Convert to fraction form
    15,922.16/21,971.64 = 9,207.31/x
  3. Step 3: Cross multiply
    15,922.16x = 21,971.64 × 9,207.31
  4. Step 4: Simplify right side
    15,922.16x = 202,299,645.76
  5. Step 5: Solve for x
    x = 202,299,645.76/15,922.16
  6. Step 6: Final answer
    x = 12,705.54

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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.