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Finding the Fourth Proportional to 19,732, 29,610.96 and 7,420

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Solution

The fourth proportional to 19,732, 29,610.96 and 7,420 is: 11,134.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732 : 29,610.96 = 7,420 : x
  2. Step 2: Convert to fraction form
    19,732/29,610.96 = 7,420/x
  3. Step 3: Cross multiply
    19,732x = 29,610.96 × 7,420
  4. Step 4: Simplify right side
    19,732x = 219,713,323.20
  5. Step 5: Solve for x
    x = 219,713,323.20/19,732
  6. Step 6: Final answer
    x = 11,134.87

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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.