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Finding the Fourth Proportional to 17,770.80, 24,523.80 and 9,813.04

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Solution

The fourth proportional to 17,770.80, 24,523.80 and 9,813.04 is: 13,542.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.80 : 24,523.80 = 9,813.04 : x
  2. Step 2: Convert to fraction form
    17,770.80/24,523.80 = 9,813.04/x
  3. Step 3: Cross multiply
    17,770.80x = 24,523.80 × 9,813.04
  4. Step 4: Simplify right side
    17,770.80x = 240,653,030.35
  5. Step 5: Solve for x
    x = 240,653,030.35/17,770.80
  6. Step 6: Final answer
    x = 13,542.05

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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.