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Finding the Fourth Proportional to 19,884.42, 29,835.12 and 7,413.66

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Solution

The fourth proportional to 19,884.42, 29,835.12 and 7,413.66 is: 11,123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,884.42 : 29,835.12 = 7,413.66 : x
  2. Step 2: Convert to fraction form
    19,884.42/29,835.12 = 7,413.66/x
  3. Step 3: Cross multiply
    19,884.42x = 29,835.12 × 7,413.66
  4. Step 4: Simplify right side
    19,884.42x = 221,187,435.74
  5. Step 5: Solve for x
    x = 221,187,435.74/19,884.42
  6. Step 6: Final answer
    x = 11,123.66

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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.