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Finding the Fourth Proportional to 17,813.18, 24,581.82 and 9,855.20

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Solution

The fourth proportional to 17,813.18, 24,581.82 and 9,855.20 is: 13,599.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,813.18 : 24,581.82 = 9,855.20 : x
  2. Step 2: Convert to fraction form
    17,813.18/24,581.82 = 9,855.20/x
  3. Step 3: Cross multiply
    17,813.18x = 24,581.82 × 9,855.20
  4. Step 4: Simplify right side
    17,813.18x = 242,258,752.46
  5. Step 5: Solve for x
    x = 242,258,752.46/17,813.18
  6. Step 6: Final answer
    x = 13,599.97

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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.