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Finding the Fourth Proportional to 15,232.26, 21,013.92 and 9,563.16

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Solution

The fourth proportional to 15,232.26, 21,013.92 and 9,563.16 is: 13,193.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,232.26 : 21,013.92 = 9,563.16 : x
  2. Step 2: Convert to fraction form
    15,232.26/21,013.92 = 9,563.16/x
  3. Step 3: Cross multiply
    15,232.26x = 21,013.92 × 9,563.16
  4. Step 4: Simplify right side
    15,232.26x = 200,959,479.19
  5. Step 5: Solve for x
    x = 200,959,479.19/15,232.26
  6. Step 6: Final answer
    x = 13,193.02

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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.