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Finding the Fourth Proportional to 17,859.42, 24,647.49 and 9,904.23

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Solution

The fourth proportional to 17,859.42, 24,647.49 and 9,904.23 is: 13,668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,859.42 : 24,647.49 = 9,904.23 : x
  2. Step 2: Convert to fraction form
    17,859.42/24,647.49 = 9,904.23/x
  3. Step 3: Cross multiply
    17,859.42x = 24,647.49 × 9,904.23
  4. Step 4: Simplify right side
    17,859.42x = 244,114,409.88
  5. Step 5: Solve for x
    x = 244,114,409.88/17,859.42
  6. Step 6: Final answer
    x = 13,668.66

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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.