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Finding the Fourth Proportional to 17,831.04, 24,606 and 10,755.84

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Solution

The fourth proportional to 17,831.04, 24,606 and 10,755.84 is: 14,842.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,831.04 : 24,606 = 10,755.84 : x
  2. Step 2: Convert to fraction form
    17,831.04/24,606 = 10,755.84/x
  3. Step 3: Cross multiply
    17,831.04x = 24,606 × 10,755.84
  4. Step 4: Simplify right side
    17,831.04x = 264,658,199.04
  5. Step 5: Solve for x
    x = 264,658,199.04/17,831.04
  6. Step 6: Final answer
    x = 14,842.56

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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.