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Finding the Fourth Proportional to 13,381.84, 18,466.84 and 7,413.92

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Solution

The fourth proportional to 13,381.84, 18,466.84 and 7,413.92 is: 10,231.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.84 : 18,466.84 = 7,413.92 : x
  2. Step 2: Convert to fraction form
    13,381.84/18,466.84 = 7,413.92/x
  3. Step 3: Cross multiply
    13,381.84x = 18,466.84 × 7,413.92
  4. Step 4: Simplify right side
    13,381.84x = 136,911,674.41
  5. Step 5: Solve for x
    x = 136,911,674.41/13,381.84
  6. Step 6: Final answer
    x = 10,231.15

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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.