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Finding the Fourth Proportional to 13,713.76, 18,925.33 and 8,411.50

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Solution

The fourth proportional to 13,713.76, 18,925.33 and 8,411.50 is: 11,608.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.76 : 18,925.33 = 8,411.50 : x
  2. Step 2: Convert to fraction form
    13,713.76/18,925.33 = 8,411.50/x
  3. Step 3: Cross multiply
    13,713.76x = 18,925.33 × 8,411.50
  4. Step 4: Simplify right side
    13,713.76x = 159,190,413.30
  5. Step 5: Solve for x
    x = 159,190,413.30/13,713.76
  6. Step 6: Final answer
    x = 11,608.08

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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.