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Finding the Fourth Proportional to 19,760.88, 29,649.96 and 7,446

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Solution

The fourth proportional to 19,760.88, 29,649.96 and 7,446 is: 11,172.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,760.88 : 29,649.96 = 7,446 : x
  2. Step 2: Convert to fraction form
    19,760.88/29,649.96 = 7,446/x
  3. Step 3: Cross multiply
    19,760.88x = 29,649.96 × 7,446
  4. Step 4: Simplify right side
    19,760.88x = 220,773,602.16
  5. Step 5: Solve for x
    x = 220,773,602.16/19,760.88
  6. Step 6: Final answer
    x = 11,172.26

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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.