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Finding the Fourth Proportional to 21,307.76, 31,950.38 and 9,456.38

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Solution

The fourth proportional to 21,307.76, 31,950.38 and 9,456.38 is: 14,179.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,307.76 : 31,950.38 = 9,456.38 : x
  2. Step 2: Convert to fraction form
    21,307.76/31,950.38 = 9,456.38/x
  3. Step 3: Cross multiply
    21,307.76x = 31,950.38 × 9,456.38
  4. Step 4: Simplify right side
    21,307.76x = 302,135,097.85
  5. Step 5: Solve for x
    x = 302,135,097.85/21,307.76
  6. Step 6: Final answer
    x = 14,179.58

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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.