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Finding the Fourth Proportional to 20,687.72, 31,006.92 and 14,413.76

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Solution

The fourth proportional to 20,687.72, 31,006.92 and 14,413.76 is: 21,603.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,687.72 : 31,006.92 = 14,413.76 : x
  2. Step 2: Convert to fraction form
    20,687.72/31,006.92 = 14,413.76/x
  3. Step 3: Cross multiply
    20,687.72x = 31,006.92 × 14,413.76
  4. Step 4: Simplify right side
    20,687.72x = 446,926,303.22
  5. Step 5: Solve for x
    x = 446,926,303.22/20,687.72
  6. Step 6: Final answer
    x = 21,603.46

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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.