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Finding the Fourth Proportional to 14,264.60, 21,413.10 and 7,687.40

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Solution

The fourth proportional to 14,264.60, 21,413.10 and 7,687.40 is: 11,539.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,264.60 : 21,413.10 = 7,687.40 : x
  2. Step 2: Convert to fraction form
    14,264.60/21,413.10 = 7,687.40/x
  3. Step 3: Cross multiply
    14,264.60x = 21,413.10 × 7,687.40
  4. Step 4: Simplify right side
    14,264.60x = 164,611,064.94
  5. Step 5: Solve for x
    x = 164,611,064.94/14,264.60
  6. Step 6: Final answer
    x = 11,539.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.