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Finding the Fourth Proportional to 30,142.88, 41,597.22 and 16,714.28

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Solution

The fourth proportional to 30,142.88, 41,597.22 and 16,714.28 is: 23,065.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.88 : 41,597.22 = 16,714.28 : x
  2. Step 2: Convert to fraction form
    30,142.88/41,597.22 = 16,714.28/x
  3. Step 3: Cross multiply
    30,142.88x = 41,597.22 × 16,714.28
  4. Step 4: Simplify right side
    30,142.88x = 695,267,582.30
  5. Step 5: Solve for x
    x = 695,267,582.30/30,142.88
  6. Step 6: Final answer
    x = 23,065.73

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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.