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Finding the Fourth Proportional to 17,762.74, 24,512.40 and 9,805.03

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Solution

The fourth proportional to 17,762.74, 24,512.40 and 9,805.03 is: 13,530.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.74 : 24,512.40 = 9,805.03 : x
  2. Step 2: Convert to fraction form
    17,762.74/24,512.40 = 9,805.03/x
  3. Step 3: Cross multiply
    17,762.74x = 24,512.40 × 9,805.03
  4. Step 4: Simplify right side
    17,762.74x = 240,344,817.37
  5. Step 5: Solve for x
    x = 240,344,817.37/17,762.74
  6. Step 6: Final answer
    x = 13,530.84

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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.