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Finding the Fourth Proportional to 11,656.46, 17,499.34 and 9,345.27

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Solution

The fourth proportional to 11,656.46, 17,499.34 and 9,345.27 is: 14,029.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.46 : 17,499.34 = 9,345.27 : x
  2. Step 2: Convert to fraction form
    11,656.46/17,499.34 = 9,345.27/x
  3. Step 3: Cross multiply
    11,656.46x = 17,499.34 × 9,345.27
  4. Step 4: Simplify right side
    11,656.46x = 163,536,134.43
  5. Step 5: Solve for x
    x = 163,536,134.43/11,656.46
  6. Step 6: Final answer
    x = 14,029.66

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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.