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Finding the Fourth Proportional to 19,493.31, 29,252.93 and 7,181.31

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Solution

The fourth proportional to 19,493.31, 29,252.93 and 7,181.31 is: 10,776.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,493.31 : 29,252.93 = 7,181.31 : x
  2. Step 2: Convert to fraction form
    19,493.31/29,252.93 = 7,181.31/x
  3. Step 3: Cross multiply
    19,493.31x = 29,252.93 × 7,181.31
  4. Step 4: Simplify right side
    19,493.31x = 210,074,358.74
  5. Step 5: Solve for x
    x = 210,074,358.74/19,493.31
  6. Step 6: Final answer
    x = 10,776.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.