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Finding the Fourth Proportional to 17,714.63, 24,445.92 and 9,756.86

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Solution

The fourth proportional to 17,714.63, 24,445.92 and 9,756.86 is: 13,464.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714.63 : 24,445.92 = 9,756.86 : x
  2. Step 2: Convert to fraction form
    17,714.63/24,445.92 = 9,756.86/x
  3. Step 3: Cross multiply
    17,714.63x = 24,445.92 × 9,756.86
  4. Step 4: Simplify right side
    17,714.63x = 238,515,296.78
  5. Step 5: Solve for x
    x = 238,515,296.78/17,714.63
  6. Step 6: Final answer
    x = 13,464.32

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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.