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Finding the Fourth Proportional to 17,854.99, 24,642.92 and 10,299.96

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Solution

The fourth proportional to 17,854.99, 24,642.92 and 10,299.96 is: 14,215.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.99 : 24,642.92 = 10,299.96 : x
  2. Step 2: Convert to fraction form
    17,854.99/24,642.92 = 10,299.96/x
  3. Step 3: Cross multiply
    17,854.99x = 24,642.92 × 10,299.96
  4. Step 4: Simplify right side
    17,854.99x = 253,821,116.03
  5. Step 5: Solve for x
    x = 253,821,116.03/17,854.99
  6. Step 6: Final answer
    x = 14,215.70

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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.