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Finding the Fourth Proportional to 15,807.38, 21,831.78 and 12,265.16

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Solution

The fourth proportional to 15,807.38, 21,831.78 and 12,265.16 is: 16,939.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.38 : 21,831.78 = 12,265.16 : x
  2. Step 2: Convert to fraction form
    15,807.38/21,831.78 = 12,265.16/x
  3. Step 3: Cross multiply
    15,807.38x = 21,831.78 × 12,265.16
  4. Step 4: Simplify right side
    15,807.38x = 267,770,274.78
  5. Step 5: Solve for x
    x = 267,770,274.78/15,807.38
  6. Step 6: Final answer
    x = 16,939.58

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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.