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Finding the Fourth Proportional to 17,738.03, 24,478.65 and 9,780.54

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Solution

The fourth proportional to 17,738.03, 24,478.65 and 9,780.54 is: 13,497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,738.03 : 24,478.65 = 9,780.54 : x
  2. Step 2: Convert to fraction form
    17,738.03/24,478.65 = 9,780.54/x
  3. Step 3: Cross multiply
    17,738.03x = 24,478.65 × 9,780.54
  4. Step 4: Simplify right side
    17,738.03x = 239,414,415.47
  5. Step 5: Solve for x
    x = 239,414,415.47/17,738.03
  6. Step 6: Final answer
    x = 13,497.24

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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.