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Finding the Fourth Proportional to 15,809.84, 21,817.32 and 8,736.56

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Solution

The fourth proportional to 15,809.84, 21,817.32 and 8,736.56 is: 12,056.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,809.84 : 21,817.32 = 8,736.56 : x
  2. Step 2: Convert to fraction form
    15,809.84/21,817.32 = 8,736.56/x
  3. Step 3: Cross multiply
    15,809.84x = 21,817.32 × 8,736.56
  4. Step 4: Simplify right side
    15,809.84x = 190,608,325.22
  5. Step 5: Solve for x
    x = 190,608,325.22/15,809.84
  6. Step 6: Final answer
    x = 12,056.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.