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Finding the Fourth Proportional to 17,662.76, 24,374.24 and 9,704.80

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Solution

The fourth proportional to 17,662.76, 24,374.24 and 9,704.80 is: 13,392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662.76 : 24,374.24 = 9,704.80 : x
  2. Step 2: Convert to fraction form
    17,662.76/24,374.24 = 9,704.80/x
  3. Step 3: Cross multiply
    17,662.76x = 24,374.24 × 9,704.80
  4. Step 4: Simplify right side
    17,662.76x = 236,547,124.35
  5. Step 5: Solve for x
    x = 236,547,124.35/17,662.76
  6. Step 6: Final answer
    x = 13,392.42

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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.