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Finding the Fourth Proportional to 17,219.97, 25,805.32 and 9,809.12

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Solution

The fourth proportional to 17,219.97, 25,805.32 and 9,809.12 is: 14,699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,219.97 : 25,805.32 = 9,809.12 : x
  2. Step 2: Convert to fraction form
    17,219.97/25,805.32 = 9,809.12/x
  3. Step 3: Cross multiply
    17,219.97x = 25,805.32 × 9,809.12
  4. Step 4: Simplify right side
    17,219.97x = 253,127,409.10
  5. Step 5: Solve for x
    x = 253,127,409.10/17,219.97
  6. Step 6: Final answer
    x = 14,699.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.