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Finding the Fourth Proportional to 15,544.38, 21,444.82 and 10,831.40

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Solution

The fourth proportional to 15,544.38, 21,444.82 and 10,831.40 is: 14,942.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,544.38 : 21,444.82 = 10,831.40 : x
  2. Step 2: Convert to fraction form
    15,544.38/21,444.82 = 10,831.40/x
  3. Step 3: Cross multiply
    15,544.38x = 21,444.82 × 10,831.40
  4. Step 4: Simplify right side
    15,544.38x = 232,277,423.35
  5. Step 5: Solve for x
    x = 232,277,423.35/15,544.38
  6. Step 6: Final answer
    x = 14,942.86

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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.