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Finding the Fourth Proportional to 21,830.94, 30,125.79 and 12,400.38

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Solution

The fourth proportional to 21,830.94, 30,125.79 and 12,400.38 is: 17,112.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.94 : 30,125.79 = 12,400.38 : x
  2. Step 2: Convert to fraction form
    21,830.94/30,125.79 = 12,400.38/x
  3. Step 3: Cross multiply
    21,830.94x = 30,125.79 × 12,400.38
  4. Step 4: Simplify right side
    21,830.94x = 373,571,243.80
  5. Step 5: Solve for x
    x = 373,571,243.80/21,830.94
  6. Step 6: Final answer
    x = 17,112.01

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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.