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Finding the Fourth Proportional to 14,074.40, 19,427.10 and 8,413.32

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Solution

The fourth proportional to 14,074.40, 19,427.10 and 8,413.32 is: 11,613.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074.40 : 19,427.10 = 8,413.32 : x
  2. Step 2: Convert to fraction form
    14,074.40/19,427.10 = 8,413.32/x
  3. Step 3: Cross multiply
    14,074.40x = 19,427.10 × 8,413.32
  4. Step 4: Simplify right side
    14,074.40x = 163,446,408.97
  5. Step 5: Solve for x
    x = 163,446,408.97/14,074.40
  6. Step 6: Final answer
    x = 11,613.03

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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.