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Finding the Fourth Proportional to 20,717.88, 31,089.06 and 9,628.44

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Solution

The fourth proportional to 20,717.88, 31,089.06 and 9,628.44 is: 14,448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,717.88 : 31,089.06 = 9,628.44 : x
  2. Step 2: Convert to fraction form
    20,717.88/31,089.06 = 9,628.44/x
  3. Step 3: Cross multiply
    20,717.88x = 31,089.06 × 9,628.44
  4. Step 4: Simplify right side
    20,717.88x = 299,339,148.87
  5. Step 5: Solve for x
    x = 299,339,148.87/20,717.88
  6. Step 6: Final answer
    x = 14,448.35

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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.