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Finding the Fourth Proportional to 17,834.43, 24,609.11 and 9,876.45

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Solution

The fourth proportional to 17,834.43, 24,609.11 and 9,876.45 is: 13,628.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,834.43 : 24,609.11 = 9,876.45 : x
  2. Step 2: Convert to fraction form
    17,834.43/24,609.11 = 9,876.45/x
  3. Step 3: Cross multiply
    17,834.43x = 24,609.11 × 9,876.45
  4. Step 4: Simplify right side
    17,834.43x = 243,050,595.08
  5. Step 5: Solve for x
    x = 243,050,595.08/17,834.43
  6. Step 6: Final answer
    x = 13,628.17

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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.