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Finding the Fourth Proportional to 11,651.58, 17,462.78 and 9,176.63

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Solution

The fourth proportional to 11,651.58, 17,462.78 and 9,176.63 is: 13,753.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.58 : 17,462.78 = 9,176.63 : x
  2. Step 2: Convert to fraction form
    11,651.58/17,462.78 = 9,176.63/x
  3. Step 3: Cross multiply
    11,651.58x = 17,462.78 × 9,176.63
  4. Step 4: Simplify right side
    11,651.58x = 160,249,337.63
  5. Step 5: Solve for x
    x = 160,249,337.63/11,651.58
  6. Step 6: Final answer
    x = 13,753.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.