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Finding the Fourth Proportional to 17,714.92, 24,443.22 and 10,638.76

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Solution

The fourth proportional to 17,714.92, 24,443.22 and 10,638.76 is: 14,679.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714.92 : 24,443.22 = 10,638.76 : x
  2. Step 2: Convert to fraction form
    17,714.92/24,443.22 = 10,638.76/x
  3. Step 3: Cross multiply
    17,714.92x = 24,443.22 × 10,638.76
  4. Step 4: Simplify right side
    17,714.92x = 260,045,551.21
  5. Step 5: Solve for x
    x = 260,045,551.21/17,714.92
  6. Step 6: Final answer
    x = 14,679.47

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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.