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Finding the Fourth Proportional to 15,809.25, 21,816.64 and 9,096.18

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Solution

The fourth proportional to 15,809.25, 21,816.64 and 9,096.18 is: 12,552.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,809.25 : 21,816.64 = 9,096.18 : x
  2. Step 2: Convert to fraction form
    15,809.25/21,816.64 = 9,096.18/x
  3. Step 3: Cross multiply
    15,809.25x = 21,816.64 × 9,096.18
  4. Step 4: Simplify right side
    15,809.25x = 198,448,084.44
  5. Step 5: Solve for x
    x = 198,448,084.44/15,809.25
  6. Step 6: Final answer
    x = 12,552.66

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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.