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Finding the Fourth Proportional to 17,184.84, 23,714.82 and 9,631.68

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Solution

The fourth proportional to 17,184.84, 23,714.82 and 9,631.68 is: 13,291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,184.84 : 23,714.82 = 9,631.68 : x
  2. Step 2: Convert to fraction form
    17,184.84/23,714.82 = 9,631.68/x
  3. Step 3: Cross multiply
    17,184.84x = 23,714.82 × 9,631.68
  4. Step 4: Simplify right side
    17,184.84x = 228,413,557.50
  5. Step 5: Solve for x
    x = 228,413,557.50/17,184.84
  6. Step 6: Final answer
    x = 13,291.57

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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.