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Finding the Fourth Proportional to 11,859.51, 17,813.85 and 9,411.57

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Solution

The fourth proportional to 11,859.51, 17,813.85 and 9,411.57 is: 14,136.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.51 : 17,813.85 = 9,411.57 : x
  2. Step 2: Convert to fraction form
    11,859.51/17,813.85 = 9,411.57/x
  3. Step 3: Cross multiply
    11,859.51x = 17,813.85 × 9,411.57
  4. Step 4: Simplify right side
    11,859.51x = 167,656,296.24
  5. Step 5: Solve for x
    x = 167,656,296.24/11,859.51
  6. Step 6: Final answer
    x = 14,136.87

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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.