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Finding the Fourth Proportional to 17,231.54, 23,780.93 and 9,678.35

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Solution

The fourth proportional to 17,231.54, 23,780.93 and 9,678.35 is: 13,356.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,231.54 : 23,780.93 = 9,678.35 : x
  2. Step 2: Convert to fraction form
    17,231.54/23,780.93 = 9,678.35/x
  3. Step 3: Cross multiply
    17,231.54x = 23,780.93 × 9,678.35
  4. Step 4: Simplify right side
    17,231.54x = 230,160,174.93
  5. Step 5: Solve for x
    x = 230,160,174.93/17,231.54
  6. Step 6: Final answer
    x = 13,356.92

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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.