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Finding the Fourth Proportional to 30,197.84, 45,262.20 and 11,714

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Solution

The fourth proportional to 30,197.84, 45,262.20 and 11,714 is: 17,557.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,197.84 : 45,262.20 = 11,714 : x
  2. Step 2: Convert to fraction form
    30,197.84/45,262.20 = 11,714/x
  3. Step 3: Cross multiply
    30,197.84x = 45,262.20 × 11,714
  4. Step 4: Simplify right side
    30,197.84x = 530,201,410.80
  5. Step 5: Solve for x
    x = 530,201,410.80/30,197.84
  6. Step 6: Final answer
    x = 17,557.59

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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.