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Finding the Fourth Proportional to 14,180.40, 21,371.46 and 14,180.40

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Solution

The fourth proportional to 14,180.40, 21,371.46 and 14,180.40 is: 21,371.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,180.40 : 21,371.46 = 14,180.40 : x
  2. Step 2: Convert to fraction form
    14,180.40/21,371.46 = 14,180.40/x
  3. Step 3: Cross multiply
    14,180.40x = 21,371.46 × 14,180.40
  4. Step 4: Simplify right side
    14,180.40x = 303,055,851.38
  5. Step 5: Solve for x
    x = 303,055,851.38/14,180.40
  6. Step 6: Final answer
    x = 21,371.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.