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Finding the Fourth Proportional to 19,878.81, 27,421.32 and 12,413.85

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Solution

The fourth proportional to 19,878.81, 27,421.32 and 12,413.85 is: 17,123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.81 : 27,421.32 = 12,413.85 : x
  2. Step 2: Convert to fraction form
    19,878.81/27,421.32 = 12,413.85/x
  3. Step 3: Cross multiply
    19,878.81x = 27,421.32 × 12,413.85
  4. Step 4: Simplify right side
    19,878.81x = 340,404,153.28
  5. Step 5: Solve for x
    x = 340,404,153.28/19,878.81
  6. Step 6: Final answer
    x = 17,123.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.