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Finding the Fourth Proportional to 17,765.21, 24,515.83 and 9,807.49

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Solution

The fourth proportional to 17,765.21, 24,515.83 and 9,807.49 is: 13,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,765.21 : 24,515.83 = 9,807.49 : x
  2. Step 2: Convert to fraction form
    17,765.21/24,515.83 = 9,807.49/x
  3. Step 3: Cross multiply
    17,765.21x = 24,515.83 × 9,807.49
  4. Step 4: Simplify right side
    17,765.21x = 240,438,757.57
  5. Step 5: Solve for x
    x = 240,438,757.57/17,765.21
  6. Step 6: Final answer
    x = 13,534.25

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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.