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Finding the Fourth Proportional to 31,714.32, 43,762.23 and 17,563.62

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Solution

The fourth proportional to 31,714.32, 43,762.23 and 17,563.62 is: 24,235.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,714.32 : 43,762.23 = 17,563.62 : x
  2. Step 2: Convert to fraction form
    31,714.32/43,762.23 = 17,563.62/x
  3. Step 3: Cross multiply
    31,714.32x = 43,762.23 × 17,563.62
  4. Step 4: Simplify right side
    31,714.32x = 768,623,178.07
  5. Step 5: Solve for x
    x = 768,623,178.07/31,714.32
  6. Step 6: Final answer
    x = 24,235.84

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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.