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Finding the Fourth Proportional to 17,230.80, 23,780.76 and 10,157.88

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Solution

The fourth proportional to 17,230.80, 23,780.76 and 10,157.88 is: 14,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,230.80 : 23,780.76 = 10,157.88 : x
  2. Step 2: Convert to fraction form
    17,230.80/23,780.76 = 10,157.88/x
  3. Step 3: Cross multiply
    17,230.80x = 23,780.76 × 10,157.88
  4. Step 4: Simplify right side
    17,230.80x = 241,562,106.39
  5. Step 5: Solve for x
    x = 241,562,106.39/17,230.80
  6. Step 6: Final answer
    x = 14,019.20

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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.