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Finding the Fourth Proportional to 17,480.60, 24,123 and 9,522.74

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Solution

The fourth proportional to 17,480.60, 24,123 and 9,522.74 is: 13,141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,480.60 : 24,123 = 9,522.74 : x
  2. Step 2: Convert to fraction form
    17,480.60/24,123 = 9,522.74/x
  3. Step 3: Cross multiply
    17,480.60x = 24,123 × 9,522.74
  4. Step 4: Simplify right side
    17,480.60x = 229,717,057.02
  5. Step 5: Solve for x
    x = 229,717,057.02/17,480.60
  6. Step 6: Final answer
    x = 13,141.26

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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.