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Finding the Fourth Proportional to 15,142.30, 22,714.41 and 4,754.46

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Solution

The fourth proportional to 15,142.30, 22,714.41 and 4,754.46 is: 7,131.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.30 : 22,714.41 = 4,754.46 : x
  2. Step 2: Convert to fraction form
    15,142.30/22,714.41 = 4,754.46/x
  3. Step 3: Cross multiply
    15,142.30x = 22,714.41 × 4,754.46
  4. Step 4: Simplify right side
    15,142.30x = 107,994,616.42
  5. Step 5: Solve for x
    x = 107,994,616.42/15,142.30
  6. Step 6: Final answer
    x = 7,131.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.