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Finding the Fourth Proportional to 11,721.68, 17,596.58 and 9,868.40

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Solution

The fourth proportional to 11,721.68, 17,596.58 and 9,868.40 is: 14,814.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,721.68 : 17,596.58 = 9,868.40 : x
  2. Step 2: Convert to fraction form
    11,721.68/17,596.58 = 9,868.40/x
  3. Step 3: Cross multiply
    11,721.68x = 17,596.58 × 9,868.40
  4. Step 4: Simplify right side
    11,721.68x = 173,650,090.07
  5. Step 5: Solve for x
    x = 173,650,090.07/11,721.68
  6. Step 6: Final answer
    x = 14,814.44

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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.