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Finding the Fourth Proportional to 17,759.99, 24,507.75 and 9,802.21

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Solution

The fourth proportional to 17,759.99, 24,507.75 and 9,802.21 is: 13,526.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,759.99 : 24,507.75 = 9,802.21 : x
  2. Step 2: Convert to fraction form
    17,759.99/24,507.75 = 9,802.21/x
  3. Step 3: Cross multiply
    17,759.99x = 24,507.75 × 9,802.21
  4. Step 4: Simplify right side
    17,759.99x = 240,230,063.12
  5. Step 5: Solve for x
    x = 240,230,063.12/17,759.99
  6. Step 6: Final answer
    x = 13,526.48

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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.