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Finding the Fourth Proportional to 17,831.64, 24,608.04 and 9,765.63

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Solution

The fourth proportional to 17,831.64, 24,608.04 and 9,765.63 is: 13,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,831.64 : 24,608.04 = 9,765.63 : x
  2. Step 2: Convert to fraction form
    17,831.64/24,608.04 = 9,765.63/x
  3. Step 3: Cross multiply
    17,831.64x = 24,608.04 × 9,765.63
  4. Step 4: Simplify right side
    17,831.64x = 240,313,013.67
  5. Step 5: Solve for x
    x = 240,313,013.67/17,831.64
  6. Step 6: Final answer
    x = 13,476.78

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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.