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Finding the Fourth Proportional to 17,714.10, 24,445.62 and 9,756.54

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Solution

The fourth proportional to 17,714.10, 24,445.62 and 9,756.54 is: 13,464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714.10 : 24,445.62 = 9,756.54 : x
  2. Step 2: Convert to fraction form
    17,714.10/24,445.62 = 9,756.54/x
  3. Step 3: Cross multiply
    17,714.10x = 24,445.62 × 9,756.54
  4. Step 4: Simplify right side
    17,714.10x = 238,504,669.35
  5. Step 5: Solve for x
    x = 238,504,669.35/17,714.10
  6. Step 6: Final answer
    x = 13,464.11

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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.