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Finding the Fourth Proportional to 21,292.34, 31,950.82 and 9,605.56

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Solution

The fourth proportional to 21,292.34, 31,950.82 and 9,605.56 is: 14,413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,292.34 : 31,950.82 = 9,605.56 : x
  2. Step 2: Convert to fraction form
    21,292.34/31,950.82 = 9,605.56/x
  3. Step 3: Cross multiply
    21,292.34x = 31,950.82 × 9,605.56
  4. Step 4: Simplify right side
    21,292.34x = 306,905,518.56
  5. Step 5: Solve for x
    x = 306,905,518.56/21,292.34
  6. Step 6: Final answer
    x = 14,413.89

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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.