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Finding the Fourth Proportional to 17,861.48, 24,650.58 and 10,409

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Solution

The fourth proportional to 17,861.48, 24,650.58 and 10,409 is: 14,365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,861.48 : 24,650.58 = 10,409 : x
  2. Step 2: Convert to fraction form
    17,861.48/24,650.58 = 10,409/x
  3. Step 3: Cross multiply
    17,861.48x = 24,650.58 × 10,409
  4. Step 4: Simplify right side
    17,861.48x = 256,587,887.22
  5. Step 5: Solve for x
    x = 256,587,887.22/17,861.48
  6. Step 6: Final answer
    x = 14,365.43

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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.