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Finding the Fourth Proportional to 17,480.64, 24,123.84 and 9,523.12

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Solution

The fourth proportional to 17,480.64, 24,123.84 and 9,523.12 is: 13,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,480.64 : 24,123.84 = 9,523.12 : x
  2. Step 2: Convert to fraction form
    17,480.64/24,123.84 = 9,523.12/x
  3. Step 3: Cross multiply
    17,480.64x = 24,123.84 × 9,523.12
  4. Step 4: Simplify right side
    17,480.64x = 229,734,223.18
  5. Step 5: Solve for x
    x = 229,734,223.18/17,480.64
  6. Step 6: Final answer
    x = 13,142.21

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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.