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Finding the Fourth Proportional to 17,235.38, 23,783.14 and 9,680

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Solution

The fourth proportional to 17,235.38, 23,783.14 and 9,680 is: 13,357.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,235.38 : 23,783.14 = 9,680 : x
  2. Step 2: Convert to fraction form
    17,235.38/23,783.14 = 9,680/x
  3. Step 3: Cross multiply
    17,235.38x = 23,783.14 × 9,680
  4. Step 4: Simplify right side
    17,235.38x = 230,220,795.20
  5. Step 5: Solve for x
    x = 230,220,795.20/17,235.38
  6. Step 6: Final answer
    x = 13,357.45

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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.