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Finding the Fourth Proportional to 22,461.76, 30,997.20 and 13,514.50

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Solution

The fourth proportional to 22,461.76, 30,997.20 and 13,514.50 is: 18,649.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,461.76 : 30,997.20 = 13,514.50 : x
  2. Step 2: Convert to fraction form
    22,461.76/30,997.20 = 13,514.50/x
  3. Step 3: Cross multiply
    22,461.76x = 30,997.20 × 13,514.50
  4. Step 4: Simplify right side
    22,461.76x = 418,911,659.40
  5. Step 5: Solve for x
    x = 418,911,659.40/22,461.76
  6. Step 6: Final answer
    x = 18,649.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.