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Finding the Fourth Proportional to 14,383.23, 19,848.93 and 8,413.74

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Solution

The fourth proportional to 14,383.23, 19,848.93 and 8,413.74 is: 11,611.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,383.23 : 19,848.93 = 8,413.74 : x
  2. Step 2: Convert to fraction form
    14,383.23/19,848.93 = 8,413.74/x
  3. Step 3: Cross multiply
    14,383.23x = 19,848.93 × 8,413.74
  4. Step 4: Simplify right side
    14,383.23x = 167,003,736.30
  5. Step 5: Solve for x
    x = 167,003,736.30/14,383.23
  6. Step 6: Final answer
    x = 11,611.00

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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.