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Finding the Fourth Proportional to 21,217.15, 31,829.16 and 7,178.03

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Solution

The fourth proportional to 21,217.15, 31,829.16 and 7,178.03 is: 10,768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,217.15 : 31,829.16 = 7,178.03 : x
  2. Step 2: Convert to fraction form
    21,217.15/31,829.16 = 7,178.03/x
  3. Step 3: Cross multiply
    21,217.15x = 31,829.16 × 7,178.03
  4. Step 4: Simplify right side
    21,217.15x = 228,470,665.35
  5. Step 5: Solve for x
    x = 228,470,665.35/21,217.15
  6. Step 6: Final answer
    x = 10,768.21

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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.