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Finding the Fourth Proportional to 17,508.96, 24,138 and 13,776.48

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Solution

The fourth proportional to 17,508.96, 24,138 and 13,776.48 is: 18,992.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,508.96 : 24,138 = 13,776.48 : x
  2. Step 2: Convert to fraction form
    17,508.96/24,138 = 13,776.48/x
  3. Step 3: Cross multiply
    17,508.96x = 24,138 × 13,776.48
  4. Step 4: Simplify right side
    17,508.96x = 332,536,674.24
  5. Step 5: Solve for x
    x = 332,536,674.24/17,508.96
  6. Step 6: Final answer
    x = 18,992.37

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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.