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Finding the Fourth Proportional to 15,831.12, 21,850.78 and 9,869.72

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Solution

The fourth proportional to 15,831.12, 21,850.78 and 9,869.72 is: 13,622.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,831.12 : 21,850.78 = 9,869.72 : x
  2. Step 2: Convert to fraction form
    15,831.12/21,850.78 = 9,869.72/x
  3. Step 3: Cross multiply
    15,831.12x = 21,850.78 × 9,869.72
  4. Step 4: Simplify right side
    15,831.12x = 215,661,080.38
  5. Step 5: Solve for x
    x = 215,661,080.38/15,831.12
  6. Step 6: Final answer
    x = 13,622.60

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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.