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Finding the Fourth Proportional to 17,714.34, 24,445.29 and 9,647.82

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Solution

The fourth proportional to 17,714.34, 24,445.29 and 9,647.82 is: 13,313.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714.34 : 24,445.29 = 9,647.82 : x
  2. Step 2: Convert to fraction form
    17,714.34/24,445.29 = 9,647.82/x
  3. Step 3: Cross multiply
    17,714.34x = 24,445.29 × 9,647.82
  4. Step 4: Simplify right side
    17,714.34x = 235,843,708.71
  5. Step 5: Solve for x
    x = 235,843,708.71/17,714.34
  6. Step 6: Final answer
    x = 13,313.71

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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.