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Finding the Fourth Proportional to 14,142.77, 19,559.31 and 12,371.30

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Solution

The fourth proportional to 14,142.77, 19,559.31 and 12,371.30 is: 17,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.77 : 19,559.31 = 12,371.30 : x
  2. Step 2: Convert to fraction form
    14,142.77/19,559.31 = 12,371.30/x
  3. Step 3: Cross multiply
    14,142.77x = 19,559.31 × 12,371.30
  4. Step 4: Simplify right side
    14,142.77x = 241,974,091.80
  5. Step 5: Solve for x
    x = 241,974,091.80/14,142.77
  6. Step 6: Final answer
    x = 17,109.38

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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.