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Finding the Fourth Proportional to 15,896.25, 21,938.85 and 9,608.63

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Solution

The fourth proportional to 15,896.25, 21,938.85 and 9,608.63 is: 13,261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896.25 : 21,938.85 = 9,608.63 : x
  2. Step 2: Convert to fraction form
    15,896.25/21,938.85 = 9,608.63/x
  3. Step 3: Cross multiply
    15,896.25x = 21,938.85 × 9,608.63
  4. Step 4: Simplify right side
    15,896.25x = 210,802,182.58
  5. Step 5: Solve for x
    x = 210,802,182.58/15,896.25
  6. Step 6: Final answer
    x = 13,261.13

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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.