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Finding the Fourth Proportional to 17,826, 24,598.92 and 9,867.84

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Solution

The fourth proportional to 17,826, 24,598.92 and 9,867.84 is: 13,617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,826 : 24,598.92 = 9,867.84 : x
  2. Step 2: Convert to fraction form
    17,826/24,598.92 = 9,867.84/x
  3. Step 3: Cross multiply
    17,826x = 24,598.92 × 9,867.84
  4. Step 4: Simplify right side
    17,826x = 242,738,206.73
  5. Step 5: Solve for x
    x = 242,738,206.73/17,826
  6. Step 6: Final answer
    x = 13,617.09

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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.