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Finding the Fourth Proportional to 17,831.93, 24,608.07 and 9,874.16

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Solution

The fourth proportional to 17,831.93, 24,608.07 and 9,874.16 is: 13,626.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,831.93 : 24,608.07 = 9,874.16 : x
  2. Step 2: Convert to fraction form
    17,831.93/24,608.07 = 9,874.16/x
  3. Step 3: Cross multiply
    17,831.93x = 24,608.07 × 9,874.16
  4. Step 4: Simplify right side
    17,831.93x = 242,983,897.43
  5. Step 5: Solve for x
    x = 242,983,897.43/17,831.93
  6. Step 6: Final answer
    x = 13,626.34

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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.