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Finding the Fourth Proportional to 17,835.16, 24,614.34 and 10,281.76

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Solution

The fourth proportional to 17,835.16, 24,614.34 and 10,281.76 is: 14,189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,835.16 : 24,614.34 = 10,281.76 : x
  2. Step 2: Convert to fraction form
    17,835.16/24,614.34 = 10,281.76/x
  3. Step 3: Cross multiply
    17,835.16x = 24,614.34 × 10,281.76
  4. Step 4: Simplify right side
    17,835.16x = 253,078,736.44
  5. Step 5: Solve for x
    x = 253,078,736.44/17,835.16
  6. Step 6: Final answer
    x = 14,189.88

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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.