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Finding the Fourth Proportional to 17,714.40, 24,437.76 and 10,628.64

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Solution

The fourth proportional to 17,714.40, 24,437.76 and 10,628.64 is: 14,662.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714.40 : 24,437.76 = 10,628.64 : x
  2. Step 2: Convert to fraction form
    17,714.40/24,437.76 = 10,628.64/x
  3. Step 3: Cross multiply
    17,714.40x = 24,437.76 × 10,628.64
  4. Step 4: Simplify right side
    17,714.40x = 259,740,153.45
  5. Step 5: Solve for x
    x = 259,740,153.45/17,714.40
  6. Step 6: Final answer
    x = 14,662.66

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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.