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Finding the Fourth Proportional to 14,127.96, 19,494.42 and 8,461.38

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Solution

The fourth proportional to 14,127.96, 19,494.42 and 8,461.38 is: 11,675.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,127.96 : 19,494.42 = 8,461.38 : x
  2. Step 2: Convert to fraction form
    14,127.96/19,494.42 = 8,461.38/x
  3. Step 3: Cross multiply
    14,127.96x = 19,494.42 × 8,461.38
  4. Step 4: Simplify right side
    14,127.96x = 164,949,695.50
  5. Step 5: Solve for x
    x = 164,949,695.50/14,127.96
  6. Step 6: Final answer
    x = 11,675.41

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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.