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Finding the Fourth Proportional to 17,530.20, 24,191.81 and 9,977.11

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Solution

The fourth proportional to 17,530.20, 24,191.81 and 9,977.11 is: 13,768.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,530.20 : 24,191.81 = 9,977.11 : x
  2. Step 2: Convert to fraction form
    17,530.20/24,191.81 = 9,977.11/x
  3. Step 3: Cross multiply
    17,530.20x = 24,191.81 × 9,977.11
  4. Step 4: Simplify right side
    17,530.20x = 241,364,218.47
  5. Step 5: Solve for x
    x = 241,364,218.47/17,530.20
  6. Step 6: Final answer
    x = 13,768.48

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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.