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Finding the Fourth Proportional to 14,380.03, 19,840.56 and 8,413.16

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Solution

The fourth proportional to 14,380.03, 19,840.56 and 8,413.16 is: 11,607.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,380.03 : 19,840.56 = 8,413.16 : x
  2. Step 2: Convert to fraction form
    14,380.03/19,840.56 = 8,413.16/x
  3. Step 3: Cross multiply
    14,380.03x = 19,840.56 × 8,413.16
  4. Step 4: Simplify right side
    14,380.03x = 166,921,805.77
  5. Step 5: Solve for x
    x = 166,921,805.77/14,380.03
  6. Step 6: Final answer
    x = 11,607.89

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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.